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Equations of Motion

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A point particle of mass 0.1kg is excecuting SHM of amplitude 0.1m. When the particle passes through the mean position, its kinetic energy is 8xx10^(-3) J. Obtain the equation of motion of the particle if the initial phase’of oscillation is 45^@ .

If force is applied on the body in the direction of motion then ?

The displacement equation of a particle moving along a straight line with uniform acceleration is x = v_0t + 1/2at^2 . Find the distance covered by the particle in the last second of its motion.

Force can change the direction of motion of a body. Give one example.

Two equal masses, one at rest and another moving undergo elastic QB lique collision. If one mass goes at an angle pi/3 .with its original direction of motion, what is the direction of motion of the other?

Derive an equation for the distance covered by a uniformly accelerated body in nth second of its motion.

State how acceleration is related to displacement in simple harmonic motion and mention the characteristics of this type of motion.

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R G PUBLICATION-MOTION IN A PLANE-EXERCISE
  1. A projectile is fired with a velocity V making an angle theta with th...

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  2. What is centripetal force? Derive an expression for it. Show that cent...

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  3. Equations of Motion

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  4. Under what condition the sum and difference of two vectors will be equ...

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  5. What is time of flight and range of a projectile?

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  6. What is the differences between angular displacement and angular veloc...

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  7. Do barA + barB and barA - barB lie the same plane?

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  8. Is hati + hatj a unit vector, explain.

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  9. Consider a vecotor vector F = 4hati - 3hatj. What is the vector perpen...

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  10. When is the sum of two vectors maximum and when minimum.

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  11. A particle is projected at an angle of 45^@ with a velocity 9.8ms^-1. ...

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  12. Two bodies are projected at an angle theta and (90 - theta) to the hor...

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  13. A body is projected vertically upwards. Is it a projectile.

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  14. Two equal force act at a point. The square of their resultant is 3 tim...

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  15. Answer the question briefly and the point: Write down the relationsh...

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  16. Two forces whose magnitudes are in the ratio 3:5 give a resultant of 2...

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  17. A projectile is given an initial velocity of hat t + 2.hatj. Find the ...

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  18. A particle is projected form ground with an initial velocity 20ms^-1 a...

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  19. State parallelogram of law of vector addition .

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  20. What is meant by resolution of vectors ?

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