Answer to Question #98109 in Mechanics | Relativity for Benjamin

Question

A heavy flywheel of mass 15kg and radius 20cm is mounted on an horizontal axle of radius 1cm and negligible mass compared with the flywheel, neglecting friction,find the angular acceleration if a force of 4kg is applied tangentially to the axle

Answer 1

$$I= \frac{t}{a}$$

Where I moment of inertion of flywheel, t - torque, a - angular acceleration

$$t = FR$$

Where R - radius of flywheel, F - force

$$I = \frac{M(R-r) ^2}{2}$$

Where M- mass of flywheel, r - radius of axle

$$a = \frac{2FR }{M(R-r) ^2}= 2.95 (1/s^2)$$