Question #194994

A 96.6lb is fastened to a cord which is wrapped around a solid cylinder of 3 ft radius weighinh 322lb. The cylinder will raise the weight with an acceleration of 12 ft per seconds? What will be the total bearing reaction?

Expert's answer

Newtons Law of Motion for m_{1}

"T=m_1g+m_1a"

Newtons Law of Motion for m_{2}

"N=m_2g+T"

"N=m_2g+m_1g+m_1a"

"N(lb)=\\frac{m_2g+m_1g+m_1a}{g}"

"N(lb)=m_2+m_1+\\frac{m_1a}{g}"

"N(lb)=322lb+96.6lb+\\frac{96.6*12}{32.174}lb"

"N(lb)=454.62g lb =454.62*32.174lbft\/s^2=14627.236 pound-force"

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