The spring of constant k = 200 N/m is attached to both the support and the 2-kg cylinder, which slides freely on the horizontal guide. If a constant 10-N force is applied to the cylinder at time t = 0 when the spring is undeformed and the system is at rest, determine the velocity of the cylinder when x = 40 mm. Also determine the maximum displacement of the cylinder.

An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?

The system is released from rest with no slack in the cable and with the spring stretched 200 mm. Determine the distance s traveled by the 3.6-kg cart before it comes to rest (a) if m approaches zero and (b) if m = 2.4 kg. Assume no mechanical interference and no friction. The distance s is positive if up the incline, negative if down. k = 105 N/m 3.6 kg 25° m Answers: (a) m = 0, S = (b) m = 2.4 kg, S = i

A 205 g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled 7.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed vmax of the object. Umax = m/s Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: cm position: cm

A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?

A 21.0 cm long spring is hung vertically from a ceiling and stretches to 25.9 cm when a 7.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m).  N/m (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 205 N weight.  cm

A glider with mass m = 0.240 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 4.70 N/m . You pull on the glider, stretching the spring 0.110 m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position (x=0). What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 2.40 m/s ?

A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed Umax of the object. Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: Umax = cm position: m/s cm

At the instant r = 2 m, the 8-kg disk is given a speed of v = 8 m/s, perpendicular to the elastic cord. Determine the speed of the disk at the instant r=1.1 m. The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of 0.5 m. k= 200 N/m B

A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.86, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.232 m?