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JEE Advanced
IMPORTANT
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A block of mass is resting on a rough inclined plane as shown in the figure. The block is tied by a horizontal string which has a tension of . The coefficient of friction between the surfaces of contact is

(a)
(b)
(c)
(d)

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Important Questions on Newton's Laws of Motion (With Friction)
MEDIUM
JEE Advanced
IMPORTANT
A horizontal force just sufficient to move a body of mass lying on a rough horizontal surface is applied to it. The coefficient of static and kinetic friction between the body and the surface are and , respectively. If the force continues to act even after the block has started moving, the acceleration of the block in is

HARD
JEE Advanced
IMPORTANT
A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given. The upper half of an inclined plane with inclination is perfectly smooth while the lower half is rough.

HARD
JEE Advanced
IMPORTANT
A body of mass is launched upon a rough inclined plane making an angle with horizontal. If the time of ascent is half of the time of descent, the frictional coefficient between plane and body is

HARD
JEE Advanced
IMPORTANT
A wooden block of mass resting on a rough horizontal floor is pulled with a force at an angle with the horizontal. If . is the coefficient of kinetic friction between the block and the surface, then the acceleration of the block is

HARD
JEE Advanced
IMPORTANT
Find the coefficient of kinetic friction between the object and the incline, when a object takes times more time to slide down rough inclined plane as it takes to slide down a perfectly smooth incline.

HARD
JEE Advanced
IMPORTANT
Two blocks of masses and , which are placed apart on a rough horizontal surface , are acted upon by two forces of magnitude each as shown in figure at time . Then, the time at which they collide with each other is

EASY
JEE Advanced
IMPORTANT
A block of mass is being pulled along rough horizontal surface. The coefficient of friction between the block and the surface is another block of mass is placed on the block and it is again pulled on the surface, the coefficient of friction between the block and the surface will be

HARD
JEE Advanced
IMPORTANT
A body of mass is resting on a rough horizontal plane surface, the coefficient of friction being equal to . At , a horizontal force starts acting on it, where is a constant. Find the time at which the motion starts?
