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, m³ = 18.3 kg and mc = 25.5 kg. A force of 400 N is applied to Box 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, μв = 0.46, and pc = 0.32, respectively. A B T₂ 18 F
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, m³ = 18.3 kg and mc = 25.5 kg. A force of 400 N is applied to Box 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, μв = 0.46, and pc = 0.32, respectively. A B T₂ 18 F
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Transcribed Image Text:**Problem Description:**
Three boxes are attached together with ropes having tensions \( T_1 \) and \( T_2 \), as shown in the figure below. The masses of the boxes are \( m_A = 22.4 \, \text{kg} \), \( m_B = 18.3 \, \text{kg} \), and \( m_C = 25.5 \, \text{kg} \). A force of 400 N is applied to Box C at an angle of \( \theta = 35^\circ \).
**Tasks:**
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?
**Assumptions:**
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 (A, B, and C) aligned in a row on a horizontal surface:
- **Box A** is connected to **Box B** with a rope showing tension \( T_1 \).
- **Box B** is connected to **Box C** with another rope showing tension \( T_2 \).
- A force vector \( F \) is applied to **Box C** at an angle \( \theta \), pointing upward and to the right.
The surface is flat, and the boxes are colored as follows for clarity:
- Box A: Pink
- Box B: Blue
- Box C: Green
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