A non-uniform rod XY of mass 40 kg and length 5.0 m lies on the horizontal ground. Its centre of gravity is 2.0 m from the end X. Calculate the vertical force P, that will just be sufficient to lift the end Y from the ground. Why would the force P, if applied at the end X not be sufficient to lift the end X from the ground? (8 = 10.0 (SC/GCE) ms-2)​

Respuesta :

The vertical force P, that will just be sufficient to lift the end Y from the ground is 600 N.

If the force P is applied at end X, it will not be sufficient to lift end X from the ground because the force P is acting downwards.

The sketch of the rod is presented as follows;

|---- 2 ----------|---------------------- 3 ----------------------|

X-----------------------------------------------------------------Y

P                    ↓

                      40 kg

Take moment about the center of gravity;

P(2) = 40 x g (3)

2P = 40 x 10 (3)

2P = 1200

P = 600 N

Thus, the vertical force P, that will just be sufficient to lift the end Y from the ground is 600 N.

If the force P is applied at end X, it will not be sufficient to lift end X from the ground because the force P is acting downwards.

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