HW324

A wheel of 10-in radius carries a load of 1000 lb, as shown in the figure.

(a)

Determine the horizontal force $P$ applied at the center which is necessary to start the wheel over a 5-in. block. Also find the reaction at the block.

(b) If the force $P$ may be inclined at any angle with the horizontal, determine the minimum value of $P$ to start the wheel over the block; the angle $P$ makes with the horizontal; and the reaction at the block.

Part (a)

$P$ = 1732.05 lb

$R$ = 2000 lb

Part (b)

$\theta$ = 60°

$P_{min}$ = 866.02 lb

$R$ = 500 lb

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