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Three boxes are attached together with ropes having tensions T₁ and T2, as shown in the figure below. The masses of the boxes are mA = 22.4 kg, mB = 18.3 kg and mc = 25.5 kg. A force of 400 N is applied to Box C at an angle of 0 = 35 deg. A) Find the tensions in each rope. B) Calculate the acceleration of the system. C) What new force (also at angle 35 deg) would be required to keep the system moving to the right with constant speed? Assume that the coefficients of kinetic friction for each box are pA = 0.38, μB = 0.46, and pc = 0.32, respectively. A T₁ B T₂ ܢܐܐ

Three boxes are attached together with ropes having tensions T₁ and T2, as shown in the figure below. The masses of the boxes are mA = 22.4 kg, mB = 18.3 kg and mc = 25.5 kg. A force of 400 N is applied to Box C at an angle of 0 = 35 deg. A) Find the tensions in each rope. B) Calculate the acceleration of the system. C) What new force (also at angle 35 deg) would be required to keep the system moving to the right with constant speed? Assume that the coefficients of kinetic friction for each box are pA = 0.38, μB = 0.46, and pc = 0.32, respectively. A T₁ B T₂ ܢܐܐ

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Please help with problem, gravity is g=32.2 ft/sec^2 or g=9.81 m/sec^2 Need formulas used to find answers
**Physics Problem: Tension and Friction with Moving Boxes** Three boxes are attached together with ropes having tensions \( T_1 \) and \( T_2 \), as illustrated in the figure below. The masses of the boxes are: - \( m_A = 22.4 \) kg - \( m_B = 18.3 \) kg - \( m_C = 25.5 \) kg A force of 400 N is applied to Box C at an angle of \( \theta = 35^\circ \). **Problems:** A) Find the tensions in each rope. B) Calculate the acceleration of the system. C) What new force (also at angle 35°) would be required to keep the system moving to the right with constant speed? *Assume that the coefficients of kinetic friction for each box are \( \mu_A = 0.38 \), \( \mu_B = 0.46 \), and \( \mu_C = 0.32 \), respectively.* **Diagram Explanation:** The diagram shows three boxes labeled A, B, and C, placed on a horizontal surface. Box A is connected to Box B with a rope experiencing tension \( T_1 \), and Box B is connected to Box C with another rope having tension \( T_2 \). A force \( F \) is applied diagonally to Box C at an angle \( \theta = 35^\circ \), moving the boxes to the right. The system considers the horizontal and frictional forces affecting movement.
Transcribed Image Text:**Physics Problem: Tension and Friction with Moving Boxes** Three boxes are attached together with ropes having tensions \( T_1 \) and \( T_2 \), as illustrated in the figure below. The masses of the boxes are: - \( m_A = 22.4 \) kg - \( m_B = 18.3 \) kg - \( m_C = 25.5 \) kg A force of 400 N is applied to Box C at an angle of \( \theta = 35^\circ \). **Problems:** A) Find the tensions in each rope. B) Calculate the acceleration of the system. C) What new force (also at angle 35°) would be required to keep the system moving to the right with constant speed? *Assume that the coefficients of kinetic friction for each box are \( \mu_A = 0.38 \), \( \mu_B = 0.46 \), and \( \mu_C = 0.32 \), respectively.* **Diagram Explanation:** The diagram shows three boxes labeled A, B, and C, placed on a horizontal surface. Box A is connected to Box B with a rope experiencing tension \( T_1 \), and Box B is connected to Box C with another rope having tension \( T_2 \). A force \( F \) is applied diagonally to Box C at an angle \( \theta = 35^\circ \), moving the boxes to the right. The system considers the horizontal and frictional forces affecting movement.
Expert Solution
Step 1

Given:- 

The mass mA = 22.4 kg 

mB = 18.3 kg 

mC = 25.5 kg 

The force F = 400 N 

The angle θ= 35°

The coefficient of kinetic friction is as 

μA= 0.38 , μB= 0.46 and μC=0.32

Physics homework question answer, step 1, image 1

Find:- 

A) The tension in each rope. 

B) The acceleration of the system 

C) The new force would be required to keep the system moving right with the constant velocity? 

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