Rotational Motion

A child of mass 50 kg is standing on the edge of a merry go round of mass 250 kg and radius 3.0 m which is rotating with an angular velocity of 3.0 rad s⁻¹. The child then starts walking towards the centre of the merry go round. What will be the final angular velocity of the merry go round when the child reaches the centre?

Introduction This problem is based on the principle of conservation of angular momentum. When no external torque acts on a system, the total angular momentum remains constant. As the child moves toward the center, the system’s moment of inertia changes, which affects the angular velocity. Given Data Mass of child (m) = 50 kg Mass […]

A child of mass 50 kg is standing on the edge of a merry go round of mass 250 kg and radius 3.0 m which is rotating with an angular velocity of 3.0 rad s⁻¹. The child then starts walking towards the centre of the merry go round. What will be the final angular velocity of the merry go round when the child reaches the centre? Read More »

A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s⁻². The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s.

Introduction This problem involves rotational motion with constant angular acceleration. We’re asked to find the angular speed, angular position, and total acceleration of a point on the rim of a rotating wheel after 2 seconds. Given Data Diameter of wheel = 2.0 m ⇒ Radius (r) = 1.0 m Angular acceleration (α) = 4.0 rad/s²

A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s⁻². The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s. Read More »

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