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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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Important Questions on Laws of Motion

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A metallic rod of mass per unit length 0.5 kg m-1 is lying horizontally on a smooth inclined plane which makes an angle 30o with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is
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Which one of the following statements is incorrect?
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A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration a towards the right. The relation between a and θ for the block to remain stationary on the wedge is

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Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively
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A rigid ball of mass,  m strikes a rigid wall at 60o and gets reflected without any loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be
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A car is negotiating a curved road of radius R . The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is:
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Three blocks A, B and C, of masses 4 kg, 2 kg 1 kg and respectively, are in contact on a frictionless surface, as shown. If a force of 14 N  is applied on the 4 kg block, then the contact force between A and B is:

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A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m2 is suspended. The coefficient of kinetic friction between the block and the table is μk. When the block B is sliding on the table, the tension in string is: