(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A crate with a weight of W is being lifted with an upward acceleration equal to one-half the magnitude of acceleration due to gravity. The crate is being lifted by a rope that passes over a frictionless pulley connected at the ceiling as shown in the drawing. The mass of the rope and the pulley are negligible. What force does the ceiling apply to the pulley?

A) W

B) 3/2 W

C) [tex]\sqrt{}[/tex]3/2 W

D) 3W

E) 4W

2. Relevant equations

F=ma

3. The attempt at a solution

the force the pulley applies on the ceiling is equal and opposite to the force the ceiling applies to the pulley. But just using F=ma, and plugging in (-9.79/2)(W) equals 4.9W

Am I looking at this problem wrong, or missing something? Do I need to include the force of gravity pulling down on the pulley somehow?

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# Homework Help: Opposite Forces

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