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**Problem Statement:** The systems shown in the figures (a, b, c) are in equilibrium. If the spring scales are calibrated in newtons, what do they read? (Neglect the masses of the pulleys and strings, and assume the incline is frictionless). Choose the right answer and the answers are in order for "a", "b", and "c". **Figures Explanation:** - **Figure (a):** Two 5.00 kg masses are hanging on either side of a pulley mounted on a horizontal frame. - **Figure (b):** A 5.00 kg mass is hanging from a pulley, which is counterbalanced by another 5.00 kg mass on the other side. - **Figure (c):** A 5.00 kg mass is placed on a 30° inclined plane, with a pulley system. **Options:** a. 5 N, 10 N, and 5 sin 30 N b. 49 N, 98 N, and 49 sin 30 N c. 0 N, 98 N, and 49 sin 30 N d. 98 N, 98 N, and 0 N e. 98 N, 98 N, and 49 sin 30 N

**Problem Statement:** The systems shown in the figures (a, b, c) are in equilibrium. If the spring scales are calibrated in newtons, what do they read? (Neglect the masses of the pulleys and strings, and assume the incline is frictionless). Choose the right answer and the answers are in order for "a", "b", and "c". **Figures Explanation:** - **Figure (a):** Two 5.00 kg masses are hanging on either side of a pulley mounted on a horizontal frame. - **Figure (b):** A 5.00 kg mass is hanging from a pulley, which is counterbalanced by another 5.00 kg mass on the other side. - **Figure (c):** A 5.00 kg mass is placed on a 30° inclined plane, with a pulley system. **Options:** a. 5 N, 10 N, and 5 sin 30 N b. 49 N, 98 N, and 49 sin 30 N c. 0 N, 98 N, and 49 sin 30 N d. 98 N, 98 N, and 0 N e. 98 N, 98 N, and 49 sin 30 N

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 Statement:** The systems shown in the figures (a, b, c) are in equilibrium. If the spring scales are calibrated in newtons, what do they read? (Neglect the masses of the pulleys and strings, and assume the incline is frictionless). Choose the right answer and the answers are in order for "a", "b", and "c". **Figures Explanation:** - **Figure (a):** Two 5.00 kg masses are hanging on either side of a pulley mounted on a horizontal frame. - **Figure (b):** A 5.00 kg mass is hanging from a pulley, which is counterbalanced by another 5.00 kg mass on the other side. - **Figure (c):** A 5.00 kg mass is placed on a 30° inclined plane, with a pulley system. **Options:** a. 5 N, 10 N, and 5 sin 30 N b. 49 N, 98 N, and 49 sin 30 N c. 0 N, 98 N, and 49 sin 30 N d. 98 N, 98 N, and 0 N e. 98 N, 98 N, and 49 sin 30 N
Transcribed Image Text:**Problem Statement:** The systems shown in the figures (a, b, c) are in equilibrium. If the spring scales are calibrated in newtons, what do they read? (Neglect the masses of the pulleys and strings, and assume the incline is frictionless). Choose the right answer and the answers are in order for "a", "b", and "c". **Figures Explanation:** - **Figure (a):** Two 5.00 kg masses are hanging on either side of a pulley mounted on a horizontal frame. - **Figure (b):** A 5.00 kg mass is hanging from a pulley, which is counterbalanced by another 5.00 kg mass on the other side. - **Figure (c):** A 5.00 kg mass is placed on a 30° inclined plane, with a pulley system. **Options:** a. 5 N, 10 N, and 5 sin 30 N b. 49 N, 98 N, and 49 sin 30 N c. 0 N, 98 N, and 49 sin 30 N d. 98 N, 98 N, and 0 N e. 98 N, 98 N, and 49 sin 30 N
Expert Solution
Step 1

Given data

*The given mass of the block is m = 5.0 kg

*The given angle is θ=300

*The acceleration due to the gravity is g = 9.8 m/s2

(a)

The free-body diagram is given below

Physics homework question answer, step 1, image 1

 

From the above diagram, the tension is given as,

T=mg

Substitute the values in the above expression as

T=5.0 kg9.8 m/s2=49 N

Thus the spring scale reads is T = 49 N

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