A block of mass m is connected through a spring/pulley arrangement on a rough 37° incline as shown. The coefficient of friction is µ= $\frac{3}{4}$ . Find the minimum hanging mass M required to move the block up the plane.
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Question

A block of mass m is connected through a spring/pulley arrangement on a rough 37° incline as shown. The coefficient of friction is µ= $\frac{3}{4}$ . Find the minimum hanging mass M required to move the block up the plane.

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G1 Physics · Accepted Answer

Resolve forces along the incline at impending upward motion, including friction µmg cos37° downward and the spring/pulley tension from M. Substituting µ= 3 4 \frac{3}{4} 4 3 ​ and sin37°=3/5, cos37°=4/5 gives M(min)=3m/5. Hence A.

A block of mass m is connected through a spring/pulley arrangement on a rough 37° incline as shown. The coefficient of friction is µ= 3 4 \frac{3}{4} 4 3 ​ . Find the minimum hanging mass M required to move the block up the plane.

A block of mass m is connected through a spring/pulley arrangement on a rough 37° incline as shown. The coefficient of friction is µ= 3 4 \frac{3}{4} 4 3 . Find the minimum hanging mass M required to move the block up the plane.