Question

Example 8.24 A block of mass M with a semi-circular track of
radius R rests on a smooth floor. A sphere of mass m and
radius r is related from rest from A. Find the velocity of sphere
and track, when the sphere reaches B.
0
.
M
Smooth​

Answer 1

Answer:

When the sphere reaches at B

Let v1=vm/g

v2=vM/g

By the momentum conservation in the horizontal direction

mv1=Mv2 (i)

Applying the energy conservation between between A and B

mg(R−r)=12mv21+12Mv22 (ii)

Solving , v1=2Mg(R−r)M+m−−−−−−−−−−√ 2Mg(R-r)/M+n

v2=mM2Mg(R−r)M+m−−−−−−−−−−√2Mg(R-r)/M+n

Explanation: