If M and m are particles connected by light inextensible string. M is held at center and
rotated about horizontal axis as M is in equilibrium.What is torque ABOUT ITS CENTER
To calculate the torque about the center, we need to consider the rotational force acting on the system. Torque is defined as the product of the force applied and the perpendicular distance from the axis of rotation to the line of action of the force.
In this case, since M is held at the center and rotated about a horizontal axis, the force acting on the system is the tension in the string. The tension acts tangentially to the circular path of M.
To calculate the torque, we need to determine the perpendicular distance from the axis of rotation to the line of action of the tension force. Since M is held at the center, the perpendicular distance is simply the radius of the circular path.
Therefore, the torque about the center is given by the equation:
Torque = Force * Perpendicular distance
In this case, the force is the tension in the string, and the perpendicular distance is the radius of the circular path. Without specific values for the tension or radius, we cannot provide a numerical answer, but the formula for calculating the torque about the center is as follows:
Torque = Tension * Radius
Where:
- Torque is the torque about the center
- Tension is the tension in the string
- Radius is the radius of the circular path