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 = 27.7°. The mass of the hammer is 1.00 kg. A force of 135 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.

(a) Find the force exerted by the hammer claws on the nail.

(b) Find the force exerted by the surface on the point of contact with the hammer head.
(   î +   ) N

Explanation / Answer

sum torques about point of contact

-135*0.3 + F*0.05*cos(27.7) = 0

F = 914.88 N

angle = 90 - 27.7 = 62.3 degrees sum forces in the x:

x - 914.88*sin(27.7) +135 = 0

x = 914.88*sin(27.7) -135

x = 290

sum forces in the y

y - 914.88*cos(27.7) = 0

y = 914.88*cos(27.7)

y = 810

so 290 i + 810 j

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