Two wheels and begin to rotate simultaneously about parallel fixed axes

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Two wheels

P

and

Q

begin to rotate simultaneously about parallel fixed axes. • Wheel

P

starts from rest with a constant angular acceleration of

5\,\text{rad s}^{-2}

. • Wheel

Q

has an initial angular velocity of

20\,\text{rad s}^{-1}

and experiences a constant angular deceleration of

1\,\text{rad s}^{-2}

. (a) After what time will the two wheels have the same angular velocity? (b) What will that common angular velocity be? (c) How many revolutions will wheel

P

complete in this time?

Related theory

Rotational Kinematics
Rotational dynamics
Rotational kinematics about a fixed axis

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