Answer the following with reference to the rotational motion of a rigid body about a…

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Answer the following with reference to the rotational motion of a rigid body about a fixed axis when the angular acceleration is constant. (i) State the mathematical relation connecting angular displacement θ\theta, initial angular velocity ω0\omega_{0}, angular acceleration α\alpha and time tt for such motion. (ii) Using this relation, explain qualitatively how the angular displacement varies with time. What is the nature of the θ ⁣\theta\!– ⁣t\!t curve? (iii) Draw the θ ⁣\theta\!– ⁣t\!t graph for this case. Mark clearly the initial angle, the intercepts and indicate whether the curve is linear or non-linear.

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