A 4-kg block A slides towards a double spring with corresponding spring constant as shown. The coefficient of kinetic friction between the block and inclined plane is μ = 0.2. (a) Determine the maximum distance d that block A would reach. Neglect the mass and width of the place that is attached to spring B Also, note that both springs are uncompressed prior to the impact of the block Hint: There is still friction between the block and the place even during the compression of the spring (use g= 9.807 m/s²) VA= 5.421 m/s KB = 400 N/m kc 1000 N/m 0.5m B C ming 5m d A

3. A 5-kg crate is released from rest at Point A of a 20-kg ramp which is inclined at 40 degrees as shown in the figure below. The lengths of the ramp is 2 m. The interface between the ramp and the ground can be assumed to be frictionless. Use Newton's 2nd Law and the definition of the center of mass to determine the horizontal distance that the ramp has moved when the crate reaches Point B. Neglect the size of the crate. Does your answer depend on the frictional force between the crate and the ramp? e S

A 16-lb spool is at rest on an inclined surface. Around its center a cable is wound which travels with the same inclination of the ramp, passes through a frictionless pulley, and is attached to a block B at its other end.The coefficient of static friction between block B and the floor is 0.25. For the position shown, with the given value of α, determine: R (in) = 11,1 in r (in) = 7 in α (°) = 16° 1. The minimum coefficient of static friction that must exist between the reel and the floor of the ramp, so that the reel does NOT slide on the ramp (does not slip). 2.The minimum weight that block B must have for the reel to NOT roll down the ramp dragging block B. Do not allow for the possibility of the block turning or tipping over.

- Blocks A and B have a mass of 7 kg and 10 kg, respectively, and there are pulleys at C and D. Using the coefficients of static friction indicated, determine the following: 1- The smallest force P which can be applied to the cord that causes impending motion. 2- Does block B spill, flip over, or nothing happen? Prove that. 400 mm D B PAB=0.1 A P T 500 mm a=0.3