Question
In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is
The correct answer is:
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The equation 
has
The equation has
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, the unit vector in the direction of friction on the particle is
A particle is moving along the circle in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point , the unit vector in the direction of friction on the particle is
If 
then the solution set in 
is
If then the solution set in is
A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man
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Solutions in the given Interval: The value of 
satisfying
are
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The area of the equilateral triangle which containing three coins of unity radius is
; 
Þ
Þ Similarly,
and 
Hence, side
Þ Area of equilateral triangle
=
sq units.The area of the equilateral triangle which containing three coins of unity radius is
; Þ
Þ Similarly,
and Hence, side
Þ Area of equilateral triangle
= sq units.
If 
then x =
If then x =
The curves
and
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andcut each other at the common point at an anglePoint of intersection for two curves is (3, 2) and
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Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is
Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is
If 
and 
then the 
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If and then the are
In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is
In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is
If 
then the G S of =
If then the G S of =
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take 
):
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take ):
An inclined plane makes an angles with the horizontal. A groove OA=5m cut in the plane makes an angle with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is 
An inclined plane makes an angles with the horizontal. A groove OA=5m cut in the plane makes an angle with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is
is
