A cart weighing 40 pounds is placed on a ramp incline 15 degrees to the horizon. The cart is held in place by a rope inclined 60 degrees to the horizontal. find the force that the rope must exert on the cart to keep it from rolling down the ramp.

Explanation:

Given

Inclination of ramp is

Rope is inclined to the horizontal

Weight of cart

from the diagram, rope is at angle of w.r.t ramp

Sine component of weight pulls down the cart Cosine component of force applied through rope held it at the position

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