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A box of mass m = 17.5 kg is pulled up a ramp that is inclined at an angle θ = 23.0 ∘ angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is μ k = 0.295 , and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a = 2.29 m/s 2 , calculate the tension F T in the rope. Use g = 9.81 m/s 2 for the acceleration due to gravity.

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rafaleo84

Answer:

T = 153.77 [N]

Explanation:

To solve this type of problems, we must make a free body diagram, with the forces acting on the box. Then performing a sum of forces on the Y axis equal to zero we can find the value of the normal force. After finding the friction force, we performed a sum of forces equal to the product of mass by acceleration (newton's second law). We can find the T-Force value.

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