The figure below shows a claw hammer being used to pull a nail out of a horizont

Question

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where = 28.9°. The mass of the hammer is 1.00 kg. A force of 140 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail.

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where 0 28.9 The mass of the hammer is 1.00 kg. A force of 140 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. 30.0 cm i Single point of contact 5.00 cm (a) Find the force exerted by the hammer claws on the nail. kN magnitude o above the horizontal direction (b) Find the force exerted by the surface on the point of contact with the hammer head. j) N

Explanation / Answer

Vertical force component on nail = 140 × 30/5 =840 N. (moments)
Horizontal force component on nail = 840 tan = 463.705 N
a) Total force = [840²+463.705²] = 959.49 N at the angle of the nail.
b) Horizontal component = 463.705 -140 = 323.705 N (balance of horizontal force components)
Vertical component = 840N (balance of vertcal force components)
sum = 323.705i + 840j assuming x is positive to the right and y is positive upwards.

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