Torque and Forces Exam Prep
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Torque and Forces Exam Prep
Sample questions with model answers
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A force $\vec{F} = (\hat{i} - 2\hat{j} + 5\hat{k}) ext{N}$ is acting at a point $\vec{r} = (2\hat{i} + \hat{j} + 3\hat{k}) ext{m}$. Find torque about the origin.
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Torque $\vec{ au} = \vec{r} imes \vec{F}$.
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The density of a rod AB increases continuously from A to B. Is it easier to set it in rotation by clamping it at A and applying a perpendicular force at B or by clamping it at B and applying the force at A? Explain your answer.
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It is easier to clamp at A and apply force at B due to greater moment arm.
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A uniform disc of radius 20 cm and mass 2 kg can rotate about a fixed axis through the centre and perpendicular to its plane. A massless cord is round along the rim of the disc. If a uniform force of 2 newtons is applied on the cord, tangential acceleration of a point on the rim of the disc will be :-
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1 m/s^2
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A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is :-
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3.6 N
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