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1. Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Short Answer

Expert verified

Yes, it satisfies the first and second condition of equilibrium.

Step by step solution

01

Equilibrium condition

1.The first condition of equilibrium is that the center of mass of the body has zero acceleration if the vector sum of all external forces acting on the body is zero.

2. The second condition of equilibrium is that a rigid body in equilibrium can’t have any tendency to start rotating about any point, so the sum of external torques must be zero about any point.

02

Acceleration towards the axis

Consider a rigid object in uniform rotation about a fixed axis.

Since, there is no net torque nor force acting on it, the object rotates uniformly at the equilibrium.

Given that the individual particles have acceleration towards the axis implies that the net force acting on the whole system is zero.

Therefore, a rigid object in uniform rotation about a fixed axis satisfies the first and second conditions of equilibrium.

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