Which of the following statements is incorrect? (a) Torque...

Name: Problem 86, Chapter 7: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-28T14:38:54-08:00
Duration: 1 min 2 s
Channel: Dheeraj Sharma
Description: Which of the following statements is incorrect? (a) Torque is the rotational analogue of force. (b) Rolling motion of a cylinder down an inclined plane is combination of translation and rotational motion. (c) If the effort arm is larger than the load arm, the mechanical advantage is lesser than one. (d) For the extended body, the centre of mass and centre of gravity do not coincide.

Which of the following statements is incorrect? (a) Torque is the rotational analogue of force. (b) Rolling motion of a cylinder down an inclined plane is combination of translation and rotational motion. (c) If the effort arm is larger than the load arm, the mechanical advantage is lesser than one. (d) For the extended body, the centre of mass and centre of gravity do not coincide.

Which of the following statements is incorrect?
(a) Torque is the rotational analogue of force.
(b) Rolling motion of a cylinder down an inclined plane is combination of translation and rotational motion.
(c) If the effort arm is larger than the load arm, the mechanical advantage is lesser than one.
(d) For the extended body, the centre of mass and centre of gravity do not coincide.

Key Concepts

Centre of Mass vs Centre of Gravity

The centre of mass is the point at which the mass of an object is concentrated, whereas the centre of gravity is the point at which the gravitational force can be considered to act on the object. In a uniform gravitational field, these two points coincide, meaning that for many practical purposes in dynamics, they can be treated as the same.

Mechanical Advantage in Levers

Mechanical advantage is a measure of how much a machine multiplies an input force to accomplish work, particularly in lever systems. In a lever, the input (effort) and output (load) forces are related to their distances from the fulcrum; a longer effort arm relative to the load arm typically results in a higher mechanical advantage, indicating that the output force exceeds the input force.

Rotational and Translational Motion

Many objects in motion, especially those that roll or rotate, exhibit both translational and rotational motion concurrently. Translational motion refers to the movement of an object's center of mass in space, while rotational motion involves the object turning about an axis. Understanding both components is crucial when analyzing the dynamics of bodies that roll or spin.

Torque

Torque is a measure of the tendency of a force to rotate an object about an axis. It quantifies the effectiveness of a force acting at some distance from the pivot point, much like force in linear motion, and is calculated as the product of the force and the perpendicular distance from the axis of rotation.

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