A uniform diving board, 12 meters long and 20 kg in mass, is hinged at P, which is 5 meters from the edge of the platform. An 80
kg diver is standing at the other end of the board. hinge 1. The force exerted by the hinge on the board will be very nearly a) 1000 N upward b) 1080 N upward c) 1080 N downward d) 1160 N upward e) 1160 N downward 2. The normal force on the board at the edge of the platform will be a) 2160 N b) 1000N c) 200 N d) 160 N e) 60 N
1 answer:
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Answer:
207.4 N
Explanation:
The torque on a body is
where r is the radius vector from the point of rotation to the point at which force F is applied.
The product of r and F is equal to the product of magnitude of r and F multiplied by the sine of angle between both vectors.
Therefore, torque is also given by
Where is the angle between r and F.
Use the expression of torque.
Substitute L for r in the equation
Where L is the length of the wrench.
Making F the subject
Force required to pull the wrench is given as,
Substitute for
, 25 cm for L, and 115o for