Question
Question: ABC is a fixed incline plane with D mid point of AC. Part AD of incline plane is rough such that whe...
ABC is a fixed incline plane with D mid point of AC. Part AD of incline plane is rough such that when a sphere released from A starts rolling, while the part DC is smooth. The sphere reaches the bottom point C, then –
A
It is in pure rolling in the part DC
B
Work done by friction on the sphere is negative when it moves from A to D
C
Mechanical energy of sphere remains constant for its motion from A to C
D
All of the above
Answer
Mechanical energy of sphere remains constant for its motion from A to C
Explanation
Solution
As surface DC is smooth it will slip but as in path AD it is in pure rolling therefore work done by friction is zero. Hence mechanical energy is conserved.