The exercise machine is designed with a lightweight cart which is mounted on small rollers so that it is free to move along the inclined ramp. Two cables are attached to the cart-one for each hand. If the hands are together so that the cables are parallel and if each cable lies essentially in a vertical plane, determine the force P which each hand must exert on its cable in order to maintain an equilibrium po- sition. The mass of the person is 70 kg, the ramp angle () is 15°, and the angle /3 is 18°. In addition, calculate the force R which the ramp exerts on the cart.
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