Question 638: Centre of Mass and Rotational Motion

Question

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Accepted Answer

Given, mass of cylinder m = 3kg
R = 40 cm = 0.4 m
F = 30 N ; $$\alpha $$ = ?
As we know, torque $$	au $$ = Ia
F ÃÂ R = MR
2
$$\alpha $$
$$\alpha $$ = $${{F 	imes R} \over {M{R^2}}}$$
$$\alpha  = {{30 	imes \left( {0.4} ight)} \over {3 	imes {{\left( {0.4} ight)}^2}}}$$
$$ \Rightarrow \alpha  = 25\,rad/{s^2}$$

Answer

0.25  rad s
$$-$$2

Answer

25 rad s
$$-$$2

Answer

5 m s
$$-$$2

Answer

25 m s
$$-$$2

Centre of Mass and Rotational Motion

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

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