Question
A man ties one end of a strong rope 8.35 m long to the bumper of his truck, 0.506 m from the ground, and the other end to a vertical tree trunk at a height of 3.92 m. He uses the truck to create a tension of 8.32 102 N in the rope. Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point.
Answers
Mike
He uses the truck to create a tension of 8.32x10^2 N in the rope.
Elena
sinα=(3.92-0.506)/8.35 =0.409
α =sin⁻¹0.409 = 24.13º
F=832•cosα=832•0.913 =759.6 N
τ=759.6•3.92=2977.6 N•m
α =sin⁻¹0.409 = 24.13º
F=832•cosα=832•0.913 =759.6 N
τ=759.6•3.92=2977.6 N•m