2014: Problem 7

Topic: Dynamics
Concepts: Statics, Torque from weight


Solution:

We balance torques around the pivot point. Using the fact that the weight of the stick can be taken to act at its center, we have

mobjg(0.1m)=mstickg(0.2m)m_{\text{obj}}g(0.1\,\mathrm{m})=m_{\text{stick}}g(0.2\,\mathrm{m})

Solving for mstickm_{\text{stick}},

mstick=mobj2=50g2=25gm_{\text{stick}}=\frac{m_{\text{obj}}}{2}=\frac{50\,\mathrm{g}}{2}=25\,\mathrm{g}

so the answer is C.

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