To determine To rank: The angular acceleration of the rod from largest to smallest. Explanation Formula used: Consider the expression for torque. ∑ τ = F l (1) Here F is the force. l is the lever arm. Consider the expression for torque. τ = I α (2) Here I is the moment of inertia. α is the angular acceleration. Consider the expression for weight. W = m g (3) Here m is the mass. g is the acceleration due to gravity which has a standard value of 9.8 m s 2 . Explanation: From equation (2), torque is directly proportional to angular acceleration. When torque increases angular acceleration also increases. Refer to the Figure in the given question. For rod A, Modify the figure of massless rod A as shown in figure 1, As three forces are acting on the rod, so the torque will be produce by all the three forces that is, τ net = τ 1 + τ 2 + τ 3 (4) Here, τ 1 is the torque due to force F → . τ 2 is the torque due to weight W A2 . τ 3 is the torque due to weight W A1 . Substitute equation (1) and weights ( W A1 , W A2 ) in respective torques in equation (4), τ A,net = F → l − W A2 ( l 2 ) − W A1 ( 0 ) τ A,net = F → l − W A2 ( l 2 ) (5) Substitute equation (3) in equation (5), τ A,net = F → l − m g ( l 2 ) For rod B, Modify the figure of massless rod B as shown in figure 2, As two forces are acting on the rod, so the torque will be produce by all the two forces that is, τ net = τ 1 + τ 2 (6) Here, τ 1 is the torque due to force F →

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ISBN: 9781119326342

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Publisher: WILEY

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

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Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 9.4, Problem 10CYU

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To rank: The angular acceleration of the rod from largest to smallest.

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What is Torque? | Physics | Extraclass.com; Author: Extraclass Official;https://www.youtube.com/watch?v=zXxrAJld9mo;License: Standard YouTube License, CC-BY