3) A crate of mass 5,000 kg is hanging from a system of ropes and F frictionless pulley as shown. The pulley weighs 4,900 N, and the the force gage weighs 2,450 N. Assume a to be negligible. The system is pulled up by a force F = 70 kN force. Determine the reading in the force gage in kN. Force gage Crate

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**Problem 3:**

A crate with a mass of 5,000 kg is suspended from a system of ropes and a frictionless pulley, as illustrated. The pulley has a weight of 4,900 N, and the force gauge reads 2,450 N. It is assumed that angle α is negligible. The system is subject to an upward force \( F = 70 \, \text{kN} \). Calculate the reading on the force gauge in kilonewtons (kN).

**Diagram Explanation:**

- The diagram shows a vertical setup with a pulley at the top, supporting the weight of a crate at the bottom.
- The force \( F = 70 \, \text{kN} \) is applied upward on the pulley.
- The force gauge is located between the pulley and the crate, measuring the tension in the rope.
- The angle \( \alpha \) between the ropes on either side of the gauge is marked but noted as negligible.

**Objective:**

Determine the new reading on the force gauge due to the applied force. This involves understanding how the applied force, along with the weights of the crate, pulley, and gauge, contribute to the tension in the system.
Transcribed Image Text:**Problem 3:** A crate with a mass of 5,000 kg is suspended from a system of ropes and a frictionless pulley, as illustrated. The pulley has a weight of 4,900 N, and the force gauge reads 2,450 N. It is assumed that angle α is negligible. The system is subject to an upward force \( F = 70 \, \text{kN} \). Calculate the reading on the force gauge in kilonewtons (kN). **Diagram Explanation:** - The diagram shows a vertical setup with a pulley at the top, supporting the weight of a crate at the bottom. - The force \( F = 70 \, \text{kN} \) is applied upward on the pulley. - The force gauge is located between the pulley and the crate, measuring the tension in the rope. - The angle \( \alpha \) between the ropes on either side of the gauge is marked but noted as negligible. **Objective:** Determine the new reading on the force gauge due to the applied force. This involves understanding how the applied force, along with the weights of the crate, pulley, and gauge, contribute to the tension in the system.
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