A block of mass m is released from a height of R. The block slides down along the path ABC. At point

Question

C the block collides a spring of sti�ness k.
(a) If the circular arc AB is frictionless and the coe�cient of kinetic friction between the block and
surface BC is �k, then �nd the maximum compression in the spring.[3 points]
(b) If the coe�cient of friction through out the path ABC is �k, then �nd the maximum compression
in the spring.In both case (a) and (b) assume that the spring is initially undeformed. Hint - For case(b) you have
to �rst draw the FBD of the block to �nd the Normal force on the block as a function of the position
of the block on the circular arc. The work done by friction has to be obtained through an integration
B C
A O
R
R
0.5 R
Figure 1: Figure for question 1
2. A chain of length L is released from rest on a smooth incline with x = 0, as shown in �gure 3. Determine
the velocity v of the links in terms of x. (Hint - Use energy methods). [5 points].
L - x
x
Figure 2: Figure for question 2
1