A solid roller having a diameter of 0.82m is to be raised on to a step of height 32cm. If the roller weighs 50 kg weight ,find the minimum force that can be applied on the roller for the purpose. (Take g= 10m/s^2)
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Explanation:
(i) Anlayse the forces that act on the roller and the point of application of force for the torque.
(ii) τ=rF and τ is constant
(iii) Weight of the roller acts at its geometric centre (downwards).
(iv) Find the effective 'r' to calculate the torque using the Pythagoras theorem and then find the torque.
(v) For a given torque, 'F' is minimum where 'r' is maximum.
(vi) Maximum 'r' is the diameter of the roller.
(vii) E - 110 N
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