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Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is(are) correct? (A) Both cylinders P and Q reach the ground at the same time. (B) Cylinders P has larger linear acceleration than cylinder Q. (C) Both cylinders reach the ground with same translational kinetic energy. D) Cylinder Q reaches the ground with larger angular speed.

Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is(are) correct?
(A) Both cylinders P and Q reach the ground at the same time.
(B) Cylinders P has larger linear acceleration than cylinder Q.
(C) Both cylinders reach the ground with same translational kinetic energy.
D) Cylinder Q reaches the ground with larger angular speed.

Grade:11

1 Answers

Vikas TU
14149 Points
11 months ago
The acceleration of the centre of mass of cylinder rolling
down an inclined plane is
ac=gsinθ/IP/(1+MR^2)
Here IP>IQ because in
case of P the mass is
concentrated away from
the axis. ∴aP less than aQ ⇒ vpless than vQ ⇒ ωpless thanωQ

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