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A force of {({4}{x}^{{{2}}}+{3}{x})}{N} acts on a particle whi
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A force of acts on a particle which displaces it from to The work done by the force is

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(a) Prove the theorem of perpendicular axes.
(Hint : Square of the distance of a point (x, y) in the xy plane from an axis through the origin and perpendicular to the plane is ). 
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(Hint : If the centre of mass is chosen to be the origin  ).

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Question 2
As shown in Fig., the two sides of a step ladder BA and CA are 1.6 m long and hinged at A. A rope DE, 0.5 m is tied half way up. A weight 40 kg is suspended from a point F, 1.2 m from B along the ladder BA. Assuming the floor to be frictionless and neglecting the weight of the ladder, find the tension in the rope and forces exerted by the floor on the ladder. (Take g = 9.8 m/s) (Hint: Consider the equilibrium of each side of the ladder separately.)

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Question 3
Six identical particles each of mass are arranged at the corners of a regular hexagon of side length If the mass of one of the particle is doubled, the shift in the centre of mass is

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Question 4
(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rev/min. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2/5 times the initial value ? Assume that the turntable rotates without friction. 
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Question Text
A force of acts on a particle which displaces it from to The work done by the force is
Answer Type Video solution: 1
Upvotes152