Question

6. Jake is a big fan of physics and decides to conduct an experiment based on an example taught in the lecture flywheel. A flywheel consists of two pieces: an axle with mass 4 kg and radius ra 1 cm, and a disk with a hole for the axle to pass through 10 cm. An object m is connected to the flywheel ma 3 kg and radius rd = with mass Md by a massless rope that wraps around the axle. When the object m is released, the flywheel is free to rotate. (a) Draw the free body diagrams of the flywheel and of the dangling object (b) What is the acceleration of of the dangling object? (c) What is the speed of the dangling object when it has dropped 1 m? the flywheel? (d) W is the speed of the dangling object if it drops 1 m witl R disk axle m

Answer 1

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2 rotating parts The contains system axle:- Moment of Inertia Ia = MR² = 4x/100) 2. 2 Ia = 2x10-4 kg m² disk :- Id = M (R²+82) Moment of Inertia = 151.5x10 kg me oz x 10-4 kg m² I= Ia + Id x264 x 104 kg m² = 153.5 x 10-4 kg m². Now T = It. Ta torque , a= angular acceleration

:: linear acceleration of block be a .: a = ra xa = 1 x mg 1.535 a = mg 153.5. Let tension in rope be T. .: T-mg-ma where a acceleration of block. a = rad. . Tra = torque = mg ra-mara- ~ - . mgra - Iat mara². a mgra. I al t mraz Since value of n is not given hence and wor remains a variable. : a= mgra². mg. It mra² 153.5+ m drops without fly wheel using v2=4²+295. = 0+2x10x1 ve 120 m/s If