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A body of weight 20 N, mass 2 kg is moving in vertical circular motion with the help of a string of radius 1 m and with a velocity of 2 m/s. What is the tension in the string at the lowest point?
  • a)
    28 N
  • b)
    20 N
  • c)
    8 N
  • d)
    15 N
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A body of weight 20 N, mass 2 kg is moving in vertical circular motion...
At the lowest point, the body experiences centrifugal force and the weight in the same direction, opposite to the direction of tension in the string. Centrifugal force can be calculated as mv2/r = 8 N. Hence the tension = weight + centrifugal force = 28 N.
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Most Upvoted Answer
A body of weight 20 N, mass 2 kg is moving in vertical circular motion...


Given data:
- Weight of the body (W) = 20 N
- Mass of the body (m) = 2 kg
- Radius of the circular motion (r) = 1 m
- Velocity of the body (v) = 2 m/s

Calculate the tension in the string at the lowest point:

1. Calculate the gravitational force acting on the body:
- Gravitational force (W) = mass x acceleration due to gravity
- W = m x g
- W = 2 kg x 9.81 m/s²
- W = 19.62 N

2. Calculate the centripetal force required to keep the body in circular motion:
- Centripetal force (Fc) = m x v² / r
- Fc = 2 kg x (2 m/s)² / 1 m
- Fc = 8 N

3. Calculate the total force at the lowest point:
- At the lowest point, the tension in the string (T) will be in the same direction as the weight of the body. So, the total force will be the sum of weight and centripetal force.
- Total force = W + Fc
- Total force = 19.62 N + 8 N
- Total force = 27.62 N

4. Calculate the tension in the string:
- Tension in the string (T) = Total force at the lowest point
- T = 27.62 N

Therefore, the tension in the string at the lowest point is approximately 28 N, which corresponds to option 'A'.
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A body of weight 20 N, mass 2 kg is moving in vertical circular motion with the help of a string of radius 1 m and with a velocity of 2 m/s. What is the tension in the string at the lowest point?a)28 Nb)20 Nc)8 Nd)15 NCorrect answer is option 'A'. Can you explain this answer?
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