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2 Αυγ 2023 · Moment of inertia, also known as rotational inertia or angular mass, is a physical quantity that resists a rigid body’s rotational motion. It is analogous to mass in translational motion. It determines the torque required to rotate an object by a given angular acceleration.
Rotational motion problems with solutions. Share the knowledge! Question -1. Find the Moment of Inertia of a sphere with axis tangent to it? Solution. The moment of inertia of the sphere about the axis passing through the center us. I C = 2 5M R2 I C = 2 5 M R 2. Using Parallel axis theorem, Moment of inertia through the tangent is given by.
• Rotational inertia is a parameter that is used to quantify how much torque it takes to get a particular object rotating. • it depends not only on the mass of the object, but where the mass is relative to the axis of rotation. 1. • the rotational inertia is bigger, if more mass is located farther. 2. from the axis. Spinning ice skater Video.
Calculate the torque of a specified force about an arbitrary origin. Calculate the angular momentum vector for a moving particle. Calculate the angular momentum vector for a rotating rigid body in simple cases where this vector lies parallel to the angular velocity vector.
Topics: On this worksheet you will practice using the basic formulas for torque and subsequent rotational behavior.
Torque and Rotational Inertia. revolving door – effect of the physical distance from the axis of rotation. force is applied to a revolving door that rotates about its center: Axis of rotation. Rank these situations based on the magnitude of the torque experienced by the door, from largest to smallest. B > A. B = A. B < A. 3.
Two ways to compute torque: 1. Put r and F vectors tail-to-tail and compute t = rFsinq. 2. Decompose F into components parallel and perpendicular to r, and take: t = rF ┴ If rotation is clockwise, torque is negative, and if rotation is counterclockwisetorque is positive. Note: If F and r are parallel or antiparallel, the torque is 0.
