Derive the following formulas relating the load W and the force P exerted on the handle of

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Derive the following formulas relating the load W and the force P exerted on the handle of the jack discussed in Section 8.6.

(a) P = (Wr/a) tan (θ + φ s), to raise the load;

(b) P = (Wr/a) tan (φs − θ), to lower the load if the screw is self-locking;

(c) P = (Wr/a) tan (θ − φs), to hold the load if the screw is not self-locking.

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