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General
Easy
Question
The spool shown in figure is placed on rough horizontal surface and has inner radius r and outer radius R. The angle q between the applied force and the horizontal can be varied. The critical angle (
) for which the spool does not roll and remains stationary is given by
The correct answer is:
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A uniform rod of length L and weight W is suspended horizontally by two vertical ropes as shown. The first rope is attached to the left end of the rod while the second rope is attached a distance L 4 from the right end. The tension in the second rope is
A uniform rod of length L and weight W is suspended horizontally by two vertical ropes as shown. The first rope is attached to the left end of the rod while the second rope is attached a distance L 4 from the right end. The tension in the second rope is
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A uniform cylinder rests on a cart as shown. The coefficient of static friction between the cylinder and the cart is 0.5. If the cylinder is 4 cm in diameter and 10 cm in height, which of the following is the minimum acceleration of the cart needed to cause the cylinder to tip over?
A uniform cylinder rests on a cart as shown. The coefficient of static friction between the cylinder and the cart is 0.5. If the cylinder is 4 cm in diameter and 10 cm in height, which of the following is the minimum acceleration of the cart needed to cause the cylinder to tip over?
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A uniform ladder of length 5m is placed against the wall as shown in the figure. If coefficient of friction m is the same for both the walls, what is the minimum value of 
for it not to slip?
A uniform ladder of length 5m is placed against the wall as shown in the figure. If coefficient of friction m is the same for both the walls, what is the minimum value of for it not to slip?
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A smooth rod of length l is kept inside a trolley at an angle as shown in the figure. What should be the acceleration a of the trolley so that the rod remains in equilibrium with respect to it?
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Find minimum height of obstacle so that the sphere can stay in equilibrium.
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A homogeneous cubical brick lies motionless on a rough inclined surface. The half of the brick which applies greater pressure on the plane is :
A homogeneous cubical brick lies motionless on a rough inclined surface. The half of the brick which applies greater pressure on the plane is :
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A uniform cube of side ‘b’ and mass M rest on a rough horizontal table. A horizontal force F is applied normal to one of the face at a point, at a height 3b/4 above the base. What should be the coefficient of friction () between cube and table so that is will tip about an edge before it starts slipping?
A uniform cube of side ‘b’ and mass M rest on a rough horizontal table. A horizontal force F is applied normal to one of the face at a point, at a height 3b/4 above the base. What should be the coefficient of friction () between cube and table so that is will tip about an edge before it starts slipping?
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In an experiment with a beam balance on unknown mass m is balanced by two known mass m is balanced by two known masses of 16 kg and 4 kg as shown in figure.
The value of the unknown mass m is
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The value of the unknown mass m is
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A right triangular plate ABC of mass m is free to rotate in the vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is:
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Two uniform rods of equal length but different masses are rigidly joined to form an L-shaped body, which is then pivoted as shown. If in equilibrium the body is in the shown configuration, ratio M/m will be:
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A 5 m long pole of 3 kg mass is placed against a smooth vertical well as shown in the figure. Under equilibrium condition, if the pole makes an angle of 37° with the horizontal, the frictional force between the pole and horizontal surface is
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A man can move on a horizontal plank supported symmetrically as shown. The variation of normal reaction on support A with distance x of the man from the end of the plank is best represented by :
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The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis
The moment of inertia of the plate about the y-axis is
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The moment of inertia of the plate about the y-axis is
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The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis
The moment of inertia of the plate about its base parallel to the x-axis is
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The moment of inertia of the plate about its base parallel to the x-axis is
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The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis
The moment of inertia of the plate about the x-axis is
The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis
The moment of inertia of the plate about the x-axis is
physics-General
