Question

A block of mass m is released from a height of R. The block slides down along the path ABC. At point
C the block collides a spring of stiness k.
(a) If the circular arc AB is frictionless and the coecient of kinetic friction between the block and
surface BC is k, then nd the maximum compression in the spring.[3 points]
(b) If the coecient 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