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A solid roller having a diameter of 0.82 m is to be raised on to a step of height 32 cm (shown in the figure).If the roller weights 50 kgwt, find the minimum forcethat can be applied on the roller for thepurpose. (Takeg=10 m s^(-2)) |
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Answer» Solution :(i) Anlayse the forces that act on the roller and thepoint of application of force for the torque. (II) ` tau = rF` and `tau` is CONSTANT (iii) Weight of the roller acts at its geometriccentre (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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