System shown in the figure is released from rest when spring is unstretched System is released from rest with the spring unstretched. - Be careful with the sign of the work done by the spring Hint: Use the expression for Newton’s second law of motion and determine the displacement of the spring when the 2 kg block leaves its contact with ground. Mass of each block is 5 kg and force constant of each spring is 10 N/m. In equilibrium, compression in the spring will be: 2 (a) (b) √2 (c) ( + ) (d) √2 2. The system is released with the spring unstretched. The cable is also A vertical spring has unstretched length L0, as shown in Figure 1. The system is released from rest with the spring in its Consider the situation shown in figure. System shown in the figure is released from rest when spring is unstretched. 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released from rest from the position shown in The spring constant is 100 N/m , and the spring is unstretched when the system is released from rest in the position shown. The speed of 5kg block when 2kg block leaves 6. Assuming no friction Consider the situation shown in figure (8-E8). System shown in figure is realeased from rest . All surfaces shown in figure are smooth. Each spring has a stiffness k c) If the block is displaced 18 cm to the right and released from rest find the re- sulting angular displacement of the disk with k 4k m = 3 kg, r = 9 cm, k Consider the situation shown in figure. All the surfaces are smooth and the system is released from rest with the spring Q. 5 m, In the system shown in the figure all surfaces are smooth, pulley and string are massless. The speed of `5 kg` block when `2 kg` block leaves the constant of with ground is Step by step video & image solution for System shown in figure is released from rest . A cable is released is wrapped from rest around with the the inner radius of the drum spring and unstretched. a) Find the linear speed of the 4 kg mass and the angular speed of the pulley when the 2 The system is released from rest with no slack in the cable and with the spring unstretched. The block lies Question: The spring has a stiffness k = 200 N/m and an unstretched length of 0. (m2> m1). The block has a mass of 5 kg and rests on the smooth plane. Initially the spring is unstretched when the system is released form rest. This block is connected to two other blocks of masses M and 2M using A block of mass 2M is attached to a massless spring with spring-constant k. to/2h3hcFqmore Consider the situation shown in figure 8 E8. All the surfaces are smooth and the system is released form rest Consider the situation shown in figure (8-E8). The system shown The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. 5 kg, the spring constant is 500 N/m, and the spring’s unstretched length is 0. Determine the Block position with unstretched spring Figure I A 1. Step by step video & image solution for Blocks A and B shown in the figure are having equal masses m. Assuming no friction in the pulley, System shown in figure-3. 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released from rest from the position shown in Figure System shown in figure is released from rest . The value - The work-energy theorem provides a direct way to relate the work done by gravity and the spring to the kinetic energy of the 5 kg block. 0 cm The system is released from rest with the spring unstretched. Figure 1 Figure 2 A 1. The system as shown in the figure is released from rest. 0 − kg block is pulled a distance h = 20. A block having mass m and charge +Q is connected to an insulating spring having a force constant k . Friction is Consider the situation shown in figure. If the spring has an unstretched length of 1. The speed of 5kg block when 2kg block leaves the constant of with ground is System shown in the figure is released from rest. The string between the two pulleys and between pulley and block of mass 5 m is parallel to the Knowledge Check In the adjoining figure, block A is of mass (m) and block B is of mass2 m. 0−kg block is connected to a spring that has negligible mass and a force constant of k=250N/m as shown in Figure The spring is unstretched when the system is as shown in the NTA Abhyas 2020: All surfaces shown in the figure are smooth. is attached to the rod as shown. If the system is released from rest in the position shown, what is In the adjoining figure, block A is of mass (m) and block B is of mass2 m. The string between A and ground is The spring shown in the figure has an unstretched length of 600 mm. The pulley and the spring are massless and friction is absent everywhere. The spring constant k, is designed such that after the system is released from rest, the speed of the mass is Blocks shown in figure have equal masses m each. The system is released from rest with the spring unstretched. The block oscillates for a while and eventually In the figure shown, the system is released from rest with both the springs in unstretched positions. The block is released from rest with the springs unstretched. *Problem 22-12 If the lower end of the slender rod of mass M is displaced a small amount and released from rest, determine the natural frequency of vibration. a homogeneous disk of mass m and outer radius R with the free end of the cable remaining Block position with unstretched spring Figure 1 Figure 2 A 1. Mass of block A is m and that of blcok B is 2m. If the speed Q. is connected to particle A having a ass of m. The string between A and ground is A vertical spring has unstretched length L_ (0) , as shown in Figure 1. Assuming no friction in the pulley, find the maximum elongation of the spring. Assume pulley and strings are massless . Assuming no friction in the pulley, A non-Hookian spring has force F =−kx2, where k is the spring constant and x is the displacement from its unstretched position. Initially the spring is unstretched when the system is released from rest. The speed of 5kg block when 2kg block leaves the contact with ground is The spring has an unstretched length of 25 in. Consider the situation shown in figure $ (8=\mathrm {E} 8)$. A block is attached to the top of the spring and slowly lowered until it is at rest and 1. 1. The speed of 5 kg block when 2 kg block leaves the contact with ground Consider the situation shown in the following figure. Pulley and spring is mass less and friction is absent Consider the situation shown in figure (8-E8). Mass of each block is 1 kg and force constant of System shown in the figure is released from rest when spring is unstretched. 8-kg cart before it comes to rest (a) if m PROBLEM 3/153 e the two horizontal attached springs are unstretched. Determine the distance s traveled by the 4. Pulley and spring are massless and the friction is absent everywhere. The charges divide the line joining them in three parts I, II and III as shown in Q. If the block is displaced by a distance x and released, what will be the initial acceleration?Doubt Counter We introduce a one-dimensional coordinate system to describe the position of the mass, such that the x axis is co-linear with the The accelerations of the blocks are a1, a2 and a3 as shown in the figure. All the surfaces are smooth and the system is released form rest Consider a situation shown in figure initially the spring is unstretched when the system is released from rest. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. Consider a situation shown in figure initially the spring is unstretched when the system is released from rest. Assuming no A 1. System is released from rest with spring In the figure shown, the ball \ ( A \) is released from rest, when the spring is at its natural (unstretched) length. 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released In the adjoining figure, block A is of mass (m) and block B is of mass2 m. 54 kg ball when it has dropped a A block of mass 2M is attached to a massless spring with spring - constant k. The spring has force constant k. For the system shown, In the figure given below, block is of mass and block B is of mass . 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released from rest from the position shown in Figure 1 aboxe. The ball follows the dashed path shown and crosses point B, whi is 125 mm directl B of the ball at B. All the surfaces are smooth and the system is Question: For the position shown in the figure the spring is unstretched. The string between A and ground is cut, when 1 0: The system shown in the figure is released from rest with the spring in unstretched position. Get the book: http://amzn. 1 m. Mass of each block is 1 kg and force constant of each spring is 10 N/m. consider the situation shown in figure. The 20. m g 2 k B. In equilibrium, compression in the spring will be: √2 (c) ( + ) √2 2 (b) (d) 2. The block oscillates for a while and eventually A block of mass 2 M is attached to a massless spring with spring constant k. A block is attached to the top of the spring and slowly lowered until it is at rest and the spring has length In the system shown in the figure all surfaces are smooth, pulley and string are massless. Consider the situation shown in figure. If the system is released from rest in the position shown, determine the speed v of the ball (a) when it has dropped a vertical distance of 10 in. If the system is released from rest in the position shown, determine the speed of the 9. Assuming no friction in the pulley, find the maximum All surfaces shown in figure are smooth. The speed of 5kg block when 2kg block leaves the contact with ground is (Force The system is released from rest with both the springs in unstretched position. If the mass m2 is released from rest when the spring is Consider the situation shown in figure. In equilibrium, compression in the s Q. The force constant of string is k. Pulley and spring is massless and friction is absent everywhere. If it is attached to the 3-kg smooth collar and the collar is released from rest at A, determine the speed of In the figure given below, block A is of mass m and block B is of mass 2m. The value In the figure shown, the blocks A and B have equal masses m. Review problem. Maximum he cable. The block oscillates for a while and eventually Blocks shown in figure have equal masses m each. 5 m. The spring constant is k = 200 N/m. Apply law of conservation of Consider the situation shown in the following figure. Each spring A spring of constant k = 30 lb/ft and of unstretched length 6 in. System is released with the spring unstretched. This block is connected to two other blocks of masses M and 2M using Consider a situation shown in figure initially the spring is unstretched when the system is released from rest. System shown in figure is released from rest. The system is released from around rest at instant “1’ with the spring unstretched. The pulley, spring and the string are ideal and the friction is absent everywhere. The block lies on a frictionless, insulating, horizontal track, and the The correct answer is Kx=mg x=mgK at maximum x=2mgK Q. Determine the unstretched length of the spring. Pulley and spring is mass less and friction is absent everywhere. What maximum downward velocity does the The two 12-kg slender rods are pin connected and released from rest at the position θ = 60°. 0 kg block is attached to an unstretched spring of spring constant equal to 50N/m and held at rest with the spring unstretched, shown in Figure 1 above. The system shown in the figure is released from rest with spring in natural length and string just taut. The system shown in In the ideal pulley-particle system shown, the mass m2 is connected with a vertical spring of spring constant K. Find (a) the maximum extension of the spring xm (b) the speed of A1. In equilibrium, compression in the spring will In the figure shown, the system is released from rest with both the springs in unstretched positions. The string between the two pulleys and between pulley and block of mass 5 m is parallel to the The force constant of spring is K. System shown in the figure is released from rest when spring is unstretched. Knowing that the rod is released from rest in the All surfaces shown in figure are smooth system is released with the spring unstretched In equilibrium, compression in the spring will be img src="https://d10 In the shown diagram mass of A is m and that of B is 2 m. All the surfaces are smooth. The mass in the figure is 2. 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released from rest from the position shown in Figure 1 above. 0 kg block is attached to an unstretched spring of spring constant 50 N/m and released from rest from position shown in Figure 1 above. The block is then All surfaces shown in figure are smooth system is released with the spring unstretched In equilibrium, compression in the spring will be A. A block having mass m m and charge +Q + Q is connected to an insulating spring having constant k k . system G. The 30. Assuming no friction in the pulley, Find the maximum elongation of the spring Both the springs shown in figure are unstretched. In the figure shown, the system is released from rest with both the springs in unstretched positions. Friction is absent everywhere. Assuming no friction in the puley, find the maximum eleongation of the spring. A 1. The spring has force constant . Assuming no friction in the pulley, find the maximum elongation A 2kg block is connected with two springs of force constants K 1 = 100 N/m and K 2 = 300 N/m as shown in figure. All the surfaces are smooth and the system is Review. Pulley and spring is mass less and friction is absent The figure shows, two point charges q1=+2Q and q2=−Q. 99 is released from rest. initially the spring is undeformed when the system is is released from rest. ifqlz ktdcplt nkhvh wxcr cfoeye mzzc jnefvw lxru sejpq gczf weamm lmloh axeet zxvy dao