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Important Questions on Laws of Motion

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A rectangular frame of some mass has to be suspended symmetrically by two mass-less strings of equal length on two supports. It can be done in one of the three following ways as shown in below figures. The tension in the strings will be

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A 90 N mass is hung on a rope tied between two poles as shown in the figure. The tension T1 and T2 in the two parts of the rope are (in N)

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A ball of mass 0.45 kg which is initially at rest is hit by a bat. The bat remains in contact with the ball for 3×10-3 s. During this time period the force on the ball by the bat is given as Ft=α×106t-β×109t2 N where α and β are constants. The ball's speed immediately as it loses contact with the bat is 20 m s-1. The correct relation between α and β is
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Two horizontal forces F1 and F2 act on a ball of mass 8 kg. The forces are such that F1=14 N i^ and F2=20 N. If the x component of velocity vx changes linearly by 3 m s-1 in 1 sec, the angle between two forces is
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A particle is moving in the x-y plane and its coordinates at any time t are given by x=5cosωt  y=5sinωt where, ω=π4 rad . The direction of the force it experiences at, t=2 s is,
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An object of mass 15 kg moves at a constant speed of 15 m s-1. A constant force, which acts for 5 s on the object, gives it a speed, 5 m s-1 in opposite direction. The force acting on the object is?
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Find the position of the particle which starts from rest at the time, t=10 s given the force acting on the particle with a mass of 50 g is 5i+10j N
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Two masses M1 & M2 are placed in contact with each other on a frictionless table
(i) A force F is applied as in figa. Let F1 denotes the force on M1 due to M2.
(ii) A force of the same magnitude F is applied as in fig (b). Let F1' denotes the force on M1 due to M2.
The ratio F1/F1' is
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