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Two observers measure normal reaction on a body where observer O1 is in a lift going upwards and O2 is on the ground. Then,

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Important Questions on Laws of Motion

EASY
A person is standing in an elevator. In which situation, he experiences weight loss ?
HARD

Two wooden blocks are moving on a smooth horizontal surface such that the block having mass m remains stationary with respect to block of mass M as shown in the figure below. The magnitude of the applied force P is, 

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EASY
A block of mass M placed inside a box descends vertically with acceleration a. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of a will be
MEDIUM
A stream of water flowing horizontally with a speed of 15 ms-1 gushes out of a tube of cross-sectional area 10-2 m2 and hits a vertical wall nearby. The force exerted on the wall by the impact of water (assuming it does not rebound) is
MEDIUM
A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration g4, the machine shows the reading 50kg. wt. When the lift goes downward with acceleration g4, the reading of the machine in kg. wt. would be
MEDIUM
A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of 45° at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is g=10 m s-2
MEDIUM
When a lift of mass 800 kg is ascending with an acceleration of 5 m s-2, the tension in its cable will be ______ take (g=10 m s-2
MEDIUM
Two masses m1=5 kg and m2=10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15. The minimum weight m that should be put on top of m2 to stop the motion is:

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HARD
A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The trajectory of the falling apple as seen by the girl is
EASY
A plumb line is suspended from a ceiling of a car moving with horizontal acceleration a. What will be the angle of inclination with vertical?
MEDIUM
A rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of mass of the rod is at distance x from A . the normal reaction on A is:
HARD
A particle is moving along the x -axis with its coordinate with time t given by xt=10+8t-3t2. Another particle is moving along the y -axis with its coordinate as a function of time given by yt=5-8t3. At t=1 s, the speed of the second particle as measured in the frame of the first particle is given as v. Then vin m s-1 is ___________.
MEDIUM
An elevator of mass m  is connected to a rope which pulls the elevator up with a maximum acceleration equal to a . If the maximum bearable tension in the rope is T , then for a safe journey the minimum diameter of the rope is [ g = acceleration due to gravity]
EASY
A block A takes 2 s to slide down a frictionless incline of 30° and length l, kept inside a lift going up with uniform velocity v. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately:
HARD
On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If r << R, and the surface tension of water is T, value of r just before bubbles detatch is :
(density of water is ρ w )

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EASY

A particle moving with velocity V is acted by three forces shown by the vector triangle PQR. The velocity of the particle will
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MEDIUM
A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis will be  g=10  m s-2,
EASY
A man weighing 60 kg is in a lift moving down with an acceleration of 1.8 ms-2. The force exerted by the floor on him is?
MEDIUM
Two blocks  A and  B of masses mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficients of friction between A and B is 0.2 and between  B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block  A does not slide over the block B is : [Take  g=10 m/s2 ]
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MEDIUM
A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction μmin between the mass and the inclined surface such that the mass does not move is: