figure shows 2 blocks A and B connected to an ideal Pulley string system. in this system when bodies are released then
Answers
Answer:
6 m/s²____a
16N_____T
32N____F
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the figure shows 2 blocks A and B connected to an ideal Pulley string system. in this system when bodies are released then
a) Acceleration of block A is 1m/s^2
b) Acceleration of block A is 2m/s^2
c) Tension in the string connected to block B is 40 N
d) Tension in the string connected to block B is 80 N
Concept:
- Pulley systems
- Tension and acceleration
Given:
- Mass of block A Ma = 40kg
- Mass of block B Mb = 10 kg
- Let acceleration of block A = a
- Tension on string connecting B = T
Find:
- The acceleration of block A or
- The tension in the string connected to block B
Solution:
Tension on string connecting B = T
So, the tension in the string connecting A = 4T
When block B moves a distance of d, block A will move a distance of d/4
acceleration of block A = a
Acceleration of block B= 4a
Block A will move downwards
Ma g -4T = Ma a
40g - 4T = 40a
10g - T = 10a
Block B will move toward the left due to the tension in the string
T = Mb 4a
T = 40 a
10g - T = 10a
10g -40a = 10a
10g = 50 a
100 = 50a
a = 100/50 = 2 m/s^2
The correct option is B.
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