Question

Hammer and Pulley Problem Below is a hammer that is being raised. The hammer is attached to an connected via a timing generates hammer. The weight of the output pulley that it belt to an input pulley. The input pulley is attached to a motor that a torque of Tm. The challenge is to find the size of the input pulley that can raise the gears is negligible. Tip: A belt can only transfer tension, and the tension force is in-line with the belt Center of Mass Tm iming Belt rin Input Pulley Ouput Pulley Hammer a) Only the top or bottom can be in tension, since the other is slack. Is it the top or bottom of the belt that is in tension? b) Draw the Free Body Diagram of the Input Pulley and the Output Pulley and Hammer Assembly, "Cut" the belt in half, with a half shown on each FBD FBD of Input Pulley Gear FBD of Output Pulley and Hammer Assembly

Answer 1

(a) Yes, the top or bottom of the belt that is in tension.

On the top belt ;   F_slack

On the bottom belt ; F_taut

(b) To draw a free body diagram of the Input Pulley and the Output Pulley and Hammer Assembly which can be shown below as -

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According to an above figure, we have

F_driving = F_slack - F_taut

For an equilibrium of torque, we have

$\tau$ = (F_slack - F_taut) r