Rotational Equilibrium and Newton's First Law in Rotational Form

AP Physics 1· difficulty 4/5

A uniform 100 N beam of length 4 m rests on a pivot at its center. A 60 N weight hangs from one end. To keep the beam horizontal, you must apply a downward force at the opposite end of magnitude

  • A

    6060 N

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  • B

    100100 N

  • C

    120120 N

  • D

    3030 N

Explanation

Beam's CG is over the pivot, contributing zero torque. The 60 N hanging weight produces 60·2 = 120 N·m on its side. To balance, apply 60 N at the far end (also 2 m from pivot): 60·2 = 120 N·m.

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