Block A, with mass mA= 1.5kg, is on a horizontal table connected to an ideal string, which goes over an ideal pulley connected to another block, block B, as shown in Figure 2. There is a coefficient of static friction of μs= 0.65, and a coefficient of kinetic friction of μk= 0.25 between block A and the tabletop. a)Draw a free body diagram for block A. b)Draw a free body diagram for blockB. c)Write Newton’s 2nd law for block A in terms of mA, T, g, and Fn. d)Write Newton’s 2ndlaw for block B in terms of mB, T, and g. c)What is the minimum necessary mass for block B(mB) needed to start block A moving?
Block A, with mass mA= 1.5kg, is on a horizontal table connected to an ideal string, which goes over an ideal pulley connected to another block, block B, as shown in Figure 2. There is a coefficient of static friction of μs= 0.65, and a coefficient of kinetic friction of μk= 0.25 between block A and the tabletop. a)Draw a free body diagram for block A. b)Draw a free body diagram for blockB. c)Write Newton’s 2nd law for block A in terms of mA, T, g, and Fn. d)Write Newton’s 2ndlaw for block B in terms of mB, T, and g. c)What is the minimum necessary mass for block B(mB) needed to start block A moving?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Block A, with mass mA= 1.5kg, is on a horizontal table connected to an ideal string, which goes over an ideal pulley connected to another block, block B, as shown in Figure 2. There is a coefficient of static friction of μs= 0.65, and a coefficient of kinetic friction of μk= 0.25 between block A and the tabletop.
a)Draw a free body diagram for block A.
b)Draw a free body diagram for blockB.
c)Write Newton’s 2nd law for block A in terms of mA, T, g, and Fn.
d)Write Newton’s 2ndlaw for block B in terms of mB, T, and g.
c)What is the minimum necessary mass for block B(mB) needed to start block A moving?

Transcribed Image Text:The image shows a physics problem involving two blocks, A and B, connected by a rope over a pulley system.
### Diagram Description
- **Block A** (mass \( m_A = 1.5 \, \text{kg} \)) is placed on a horizontal table surface.
- **Block B** is suspended vertically, hanging over the edge of the table.
- A rope connects Block A and Block B, passing over a pulley.
- The pulley is depicted as a black circle.
### Explanation of Forces and Motion
- The system depicts Block B pulling Block A across the table, implying motion due to gravity acting on Block B.
- The friction between Block A and the table, with a coefficient of kinetic friction \( \mu_k = 0.25 \), resists this motion.
- The pulley's effect is to change the direction of the tension in the rope, allowing the weights to interact.
**Figure 2: Block A being pulled by block B.**
### Additional Text
The scenario described involves the interaction of gravitational force on Block B and frictional force opposing the movement of Block A across the table. This is a common setup for analyzing Newton's laws of motion, frictional forces, and tension in connected bodies.
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