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4

The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where r = Amplitude of motion, and y = Displacement of the particle from mean position.)

A. ω.√(y² - r²)

B. ω.√(r² - y²)

C. ω².√(y² - r²)

D. ω².√(r² - y²)

Correct Answer :

B. ω.√(r² - y²)


Related Questions

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The unit of force in S.I. units is

A. kilogram

B. Newton

C. Watt

D. Dyne

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The range of a projectile is maximum, when the angle of projection is

A. 30°

B. 45°

C. 60°

D. 90°

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4

The length of a second's pendulum is

A. 94.9 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

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4

When trying to turn a key into a lock, following is applied

A. Coplanar force

B. Non-coplanar forces

C. Moment

D. Couple

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4

The unit of power in S.I. units is

A. Horsepower

B. Joule

C. Watt

D. kg-m

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4

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

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4

Work done is said to be zero, when

A. Some force acts on a body, but displacement is zero

B. No force acts on a body but some displacement takes place

C. Either (A) or (B)

D. None of the above

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4

The friction experienced by a body, when in motion, is known as

A. Rolling friction

B. Dynamic friction

C. Limiting friction

D. Static friction

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4

Which of the following is not the unit of energy?

A. kg m

B. kcal

C. Watt

D. Watt hours

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4

Coefficient of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

C. The friction force acting when the body is just about to move

D. The friction force acting when the body is in motion

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4

For any system of coplanar forces, the condition of equilibrium is that the

A. Algebraic sum of the horizontal components of all the forces should be zero

B. Algebraic sum of the vertical components of all the forces should be zero

C. Algebraic sum of moments of all the forces about any point should be zero

D. All of the above

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4

The unit of angular acceleration is

A. N-m

B. m/s

C. m/s2

D. rad/s2

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4

In actual machines

A. Mechanical advantage is greater than velocity ratio

B. Mechanical advantage is equal to velocity ratio

C. Mechanical advantage is less than velocity ratio

D. Mechanical advantage is unity

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A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following:

A. Both the balls undergo an equal change in momentum

B. The change in momentum suffered by rubber ball is more than the lead ball

C. The change in momentum suffered by rubber ball is less than the lead ball

D. None of the above

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A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly

A. 38 m

B. 62.5 m

C. 96 m

D. 124 m

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4

Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is

A. 20 N

B. 40 N

C. 120 N

D. None of these

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4

The minimum force required to slide a body of weight W on a rough horizontal plane is

A. W sinθ

B. W cosθ

C. W tanθ

D. None of these

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4

The maximum velocity of a particle moving with simple harmonic motion is

A. ω

B. ωr

C. ω2r

D. ω/r

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4

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

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If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

The force induced in the string BC due to the load W as shown in the below figure is

A. W sinθ

B. W cosθ

C. W tanθ

D. W cotθ

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4

The coefficient of restitution for inelastic bodies is

A. Zero

B. One

C. Between zero and one

D. More than one

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4

The bellow figure shows the two equal forces at right angles acting at a point. The value of force R acting along their bisector and in opposite direction is

A. P/2

B. 2P

C. √2 × P

D. P/√2

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4

The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is

A. h [(2a + b)/(a + b)]

B. (h/2) [(2a + b)/(a + b)]

C. (h/3) [(2a + b)/(a + b)]

D. (h/3) [(a + b)/(2a + b)]

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When a body falls freely under gravitational force, it possesses __________ weight.

A. No

B. Minimum

C. Maximum

D. None of these

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The motion of a wheel of a car is

A. Purely translation

B. Purely rotational

C. Combined translation and rotational

D. None of these

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4

The friction experienced by a body, when at rest, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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A redundant frame is also called __________ frame.

A. Perfect

B. Imperfect

C. Deficient

D. None of these

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The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection.

A. Less than

B. More than

C. Equal to

D. None of These

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4

The power developed by a body acted upon by a torque T Newton metre (N - m) and revolving at ω radian/s is given by

A. T.ω (in watts)

B. T.ω/60 (in watts)

C. T.ω/75 (in kilowatts)

D. T.ω/4500 (in kilowatts)