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A particle moves so that its position vector is given by r→=cosωt x^ +sinωt y^, where ω is a constant. Which of the following is true?

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Questions featured in Previous Year Papers on Mechanics

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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 37
A particle of mass m is projected with a velocity v=kVe (k<1) from the surface of the earth (Ve= escape velocity). The maximum height above the surface reached by the particle is___
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 9
A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle  θ to the horizontal, the maximum height attained by it equals 4R. The angle of projection θ is then given by___
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 2
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 1
A screw gauge gives the following readings when used to measure the diameter of a wire
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is:
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 30
Water falls from a height of 60 m at the rate of 15 kg s-1 to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? g=10 m s-2)
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 45
The velocity of a small ball of mass M and density ρ, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is ρ2, then the viscous force acting on the ball will be:
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 29
A particle is released from height S above the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively___
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NEET Physics Express>Chapter -1 - Mechanics>Exercise>Q 8
A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t=n-1 to t=n. Then, the ratio snsn+1 is: