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1. A0.5 kg uniform meter stick is hinged at 0.5 cm from one end and held horizontally by a force T applied at an angle of 30° with the horizontal as shown in figure 1. a. If T is applied at the end of the meter stick as shown, what is the magnitude of T and what is the force F exerted at the pivot on the meter stick? T figure 1 30° b. If the force Tis applied in the same direction but at 60 cm from the pivot, what are T and F? c. How do T and F from part (b) change if, as shown in figure 2, a mass of 1 kg is suspended 35 cm from the left end of the meter stick?

1. A0.5 kg uniform meter stick is hinged at 0.5 cm from one end and held horizontally by a force T applied at an angle of 30° with the horizontal as shown in figure 1. a. If T is applied at the end of the meter stick as shown, what is the magnitude of T and what is the force F exerted at the pivot on the meter stick? T figure 1 30° b. If the force Tis applied in the same direction but at 60 cm from the pivot, what are T and F? c. How do T and F from part (b) change if, as shown in figure 2, a mass of 1 kg is suspended 35 cm from the left end of the meter stick?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 1: Uniform Meter Stick Mechanics** A 0.5 kg uniform meter stick is hinged at 0.5 cm from one end and held horizontally by a force \( T \) applied at an angle of 30° with the horizontal as shown in Figure 1. **Part a:** - **Task:** If \( T \) is applied at the end of the meter stick as shown, what is the magnitude of \( T \) and what is the force \( F \) exerted at the pivot on the meter stick? *Figure 1:* - A horizontal meter stick with a pivot at 0.5 cm from the left end. - Force \( T \) is applied at the right end at a 30° angle above the horizontal. **Part b:** - **Task:** If the force \( T \) is applied in the same direction but at 60 cm from the pivot, what are \( T \) and \( F \)? **Part c:** - **Task:** How do \( T \) and \( F \) from part (b) change if, as shown in Figure 2, a mass of 1 kg is suspended 35 cm from the left end of the meter stick? *Figure 2:* - The setup is similar to Figure 1 with an added suspended mass of 1 kg located 35 cm from the left end. --- **Problem 2: Strut Mechanics** - **Task:** Find the tension in the cable and the force exerted at the pivot in the system shown in Figure 3. The strut is uniform and has a mass of 20 kg. *Figure 3:* - A diagram illustrating a triangular system with an inclined strut. - The strut makes a 10° angle with the horizontal and supports a 10 kg mass at its end. - Force \( T \) is applied at a 30° angle to the strut. - Tensions in a cable support the system. For detailed solutions, calculations using principles of torque and equilibrium are required.
Transcribed Image Text:**Problem 1: Uniform Meter Stick Mechanics** A 0.5 kg uniform meter stick is hinged at 0.5 cm from one end and held horizontally by a force \( T \) applied at an angle of 30° with the horizontal as shown in Figure 1. **Part a:** - **Task:** If \( T \) is applied at the end of the meter stick as shown, what is the magnitude of \( T \) and what is the force \( F \) exerted at the pivot on the meter stick? *Figure 1:* - A horizontal meter stick with a pivot at 0.5 cm from the left end. - Force \( T \) is applied at the right end at a 30° angle above the horizontal. **Part b:** - **Task:** If the force \( T \) is applied in the same direction but at 60 cm from the pivot, what are \( T \) and \( F \)? **Part c:** - **Task:** How do \( T \) and \( F \) from part (b) change if, as shown in Figure 2, a mass of 1 kg is suspended 35 cm from the left end of the meter stick? *Figure 2:* - The setup is similar to Figure 1 with an added suspended mass of 1 kg located 35 cm from the left end. --- **Problem 2: Strut Mechanics** - **Task:** Find the tension in the cable and the force exerted at the pivot in the system shown in Figure 3. The strut is uniform and has a mass of 20 kg. *Figure 3:* - A diagram illustrating a triangular system with an inclined strut. - The strut makes a 10° angle with the horizontal and supports a 10 kg mass at its end. - Force \( T \) is applied at a 30° angle to the strut. - Tensions in a cable support the system. For detailed solutions, calculations using principles of torque and equilibrium are required.
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