a uniform rod is 1 m long and has a mass of 10 kg. it is pinned at point a, a frictionless pivot. the rod is released from a rest position 45degrees from the horizontal. the top of an undeflected ideal spring is located at point b to contact the tip of the rod when the rod is horizontal the spring has a constant of 98 kN/m. (c) assume the rod is dropped from the unknown angle, and is 10 rad/s when the rod hit the spring. What will be the maximum deflection of the spring. SHOW COMPLETE SOLUTION.

A 25.0-kg block is released from rest at point A. The track is frictionless except for the portion between points B and C, which has a length of 10.00 m. The block travels down the track, hits a spring of force constant 2000 N/m, and compresses the spring 0.50 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C.

The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in Figure (a). If the spring is compressed a distance of 0.127 m and the gun fired vertically as shown, the gun can launch a 20.3-g projectile from rest to a maximum height of 10.6 m above the starting point of the projectile shown in Fig. (a). Neglecting all resistive forces, determine (a) the spring constant and (b) the speed of the projectile as it moves through the equilibrium position of the spring (where ?=0x=0), as shown in Figure (b).

One end of a horizontal spring with k=80N/m is fixed on the wall. A 5kg block is moving at 2m/s when it touches on the free end of a spring. Find the maximum compression of spring Δ: a) if the floor is frictionless ... Δa=...b) if there is kinetic friction with magnitude 10N between block and the floor..... Δb=...c) the amount of thermal energy produced in case (a).. ΔEth-a=.... and (b)... ΔEth-b=.......

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance Yo' then helps to support any additional load. Consider a leaf spring constant of 5.35 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y₁ = 0.500 m. Truck body Yo Axle (a) What is the compression of the leaf spring for a load of 4.10 × 105 N? 0.69 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) How much work is done compressing the springs? J and

A 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring, (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.4 cm. m/s Additional Materials

A block with mass 300 g is held at rest against a spring with spring con- stant 200 N/m that has been compressed 3 cm from its equilibrium length. The block is released and allowed to slide on a table, and the coefficient of kinetic friction between the block and the Problem 1 table is 0.3. The block slides a short distance on the table and then comes to rest. Assume the block loses contact with the spring when the spring is at its equilibrium length, and that the friction force only acts after the block has lost contact with the spring. (a) How much work does the spring force do on the block? (b) How much work does the kinetic friction force do on the block? (c) After leaving the spring, what distance does the block slide before coming to rest? (d) What speed did the block have after sliding 5 cm from the point it lost contact with the spring?

A 0.79 kg mass is held against the compressed spring and released from rest. the linear spring positioned horizontally across a surface. it has a spring constant of 325 N/m and is initially compressed by a distance of 0.16 m from its equilibrium  position. if the coefficient of kinetic friction is .585 with what speed does the mass leave the spring?