A truck pulls a large box to the left with two large chains. The truck is unable to move the box because the large box is in equilibrium. One of the chains has tension in the amount of 1000 Newtons. If the force of friction between the box and the ground is 2500 Newtons, explain and solve for what the tension is in the other chain. Use any relevant rules, laws, and show your work using any math reasoning.

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Physics

5 January, 08:51

A truck pulls a large box to the left with two large chains. The truck is unable to move the box because the large box is in equilibrium. One of the chains has tension in the amount of 1000 Newtons. If the force of friction between the box and the ground is 2500 Newtons, explain and solve for what the tension is in the other chain. Use any relevant rules, laws, and show your work using any math reasoning.

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Austin Spencer · Answer 1

Refer to the diagram shown below.

m = the mass of the crate.

W = mg, the weight of the crate (g = 9.8 m/s²).

N = the normal reaction from the ground.

R = 2500 N, the frictional force between the crate and the ground.

R = μN = μmg

where

μ = the static coefficient of friction

The force in the first chain is 1000 N.

Let T = the force in the second chain.

In order to move the crate, the applied force should exceed the resisting frictional force. That is,

T + 1000 ≥ 2500

T ≥ 1500 N

Because the crate does not move, T = 1500 N.

Answer: T = 1500 N