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A cylinder of mass 5kg and radius 30 cm is rolling down an inclined place at an angle of `45^(@)` with the horizontal. Calculate (i) force of friction

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A cylinder of mass 5 kg and radius 30 cm is rolling down an inclined plane at an angle of 45^(@) with the horizontal. Calculate (i) force of friction (ii) acceleration of cylinder (iii) minimum value of coeff. of static friction so that cylinder does not slip while rolling down the plane.

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A uniform disc of mass m and radius R is rolling up a rough inclined plane which makes an angle of 30^@ with the horizontal. If the coefficients of static and kinetic friction are each equal to mu and the only force acting are gravitational and frictional, then the magnitude of the frictional force acting on the disc is and its direction is .(write up or down) the inclined plane.

( a ) A rigid body of radius of gyration k and radius R rolls without slipping down a plane inclined at an angle theta with the horizontal. Calculate its acceleration and the frictional force acting on it. ( b ) If the body be in the form of a disc and theta=30^(@) , what will be the acceleration and the frictional force acting on it.

SL ARORA-System of particles & rotational Motion-EXERCISE
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  10. A car is moving at a speed of 72 kmh^(-1). The diameter of its wheel i...

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  11. A wheel starting from rest via rotating with a constant angular veloci...

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  12. Determine the angular momentum of a car of mass 1500 kg moving in a ci...

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  19. Three particles, each of mass m are situated at the vertices of an equ...

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  20. Four particles each of mass m are kept at the four corners of a square...

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  21. What is the moment of inertia of a ring of mass 2kg and radius 50 cm a...

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