# Problem: An object has the following two conditions, ∑F = 0 and ∑τ = 0. Which of the following statements can be true?A. The object is at rest.B. The object is moving at a constant velocity, and rotating with a constant angular velocity.C. The object is moving at a constant velocity but it not rotating.D. The object does not have a translation motion but is rotating at a constant angular velocity.E. All of the above.

###### FREE Expert Solution

In this problem, we need to know Newton's second law of motion:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

a = dv/dt

We also need to know that:

$\overline{){\mathbf{\sum }}{\mathbf{\tau }}{\mathbf{=}}{\mathbf{I}}{\mathbf{\alpha }}}$

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###### Problem Details

An object has the following two conditions, ∑F = 0 and ∑τ = 0. Which of the following statements can be true?

A. The object is at rest.

B. The object is moving at a constant velocity, and rotating with a constant angular velocity.

C. The object is moving at a constant velocity but it not rotating.

D. The object does not have a translation motion but is rotating at a constant angular velocity.

E. All of the above.