Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Rotational Mechanics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics
A simple pendulum of length l is displaced to form an angle heta...
A simple pendulum of length is displaced to form an angle with the vertical. Calculate the magnitude of the torque exerted by the weight of the bob about the point of suspension, and state when this torque is zero.
Options
- A, when the bob is at the lowest point
- B, when the bob is at an extreme position
- C, when the bob is at the lowest point
- D, when the bob is at an extreme position
Correct answer
C. , when the bob is at the lowest point
Step-by-step solution
The torque about the point of suspension is given by the cross product of the position vector and the force .
Here, the force is the weight acting vertically downwards, and the magnitude of the position vector is the length of the pendulum .
The angle between the position vector and the force vector is .
The magnitude of the torque is .
The torque is zero when , which implies , giving .
This condition corresponds to the bob being at its lowest point.
Here, the force is the weight acting vertically downwards, and the magnitude of the position vector is the length of the pendulum .
The angle between the position vector and the force vector is .
The magnitude of the torque is .
The torque is zero when , which implies , giving .
This condition corresponds to the bob being at its lowest point.