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Engineering Mec...

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  • Question 1
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    A particle moves in a straight line and its position is defined by equation \(x = 6{t^2} - {t^3}\) where t is expressed in seconds and x in meters. The maximum velocity(m/s) during motion is____

  • Question 2
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    A wound watch spring possesses energy in the form of-

  • Question 3
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    The centre of gravity of a right circular cone that lies on the axis at a height from the base is equal to-

  • Question 4
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    A block weighing W = 20 kN is resting on an inclined plane which makes an angle of 30° to the horizontal. The component of gravity force parallel to the inclined plane is-

  • Question 5
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    A body of mass 2 kg is moving with a velocity of 50 m/s. What will be the kinetic energy of the body?

  • Question 6
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    A vehicle having rectilinear motion is moving with a velocity of 36 km/h and accelerates uniformly to 54 km/h over a distance of 125 m. What will be the time taken to cover this distance?

  • Question 7
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    A horizontal circular platform of radius 1m and mass 0.6 kg is free to rotate about its axis. Two massless guns, each carrying a bullet of mass 65 gm are attached at a distance of 0.4 m and 0.6 m from center and in opposite direction. If the guns fire simultaneously and speed of bullets are 25 m/s (each), then the magnitude of rotational speed of platform is

  • Question 8
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    An object starts from rest at x = 0 m and t = 0 s. It moves with a constant acceleration of 2m/s2 along the x–axis. What is its average velocity between time 1 s and 5 s?

  • Question 9
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    Which among the following is Not an application of Newton’s third Law of Motion?

  • Question 10
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    During inelastic collision of two particles, which one of the following is conserved ?

  • Question 11
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    A 1kg block is resting on a surface with co effcient of friction, µ = 0.1. A force of 0.8N is applied to the block as shown in figure. The friction force in Newton is

  • Question 12
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    Two blocks of equal masses are made. One of them is smooth and the other is rough with coefficient of friction 0.20 with the floor. The smooth block is moving at 20 m/s towards the rough block at rest. If their collision is perfectly elastic, then the distance travelled by the rough block will be ______

  • Question 13
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    Four forces of magnitudes 20 N, 40 N, 60 N and 80 N are acting respectively along the four sides of a square ABCD as shown in figure. The magnitude of resultant is

  • Question 14
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    A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:

  • Question 15
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    The CG of a semicircular plate of 66 cm diameter, from its base, is

  • Question 16
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    A Train of length 500 m is travelling in 30° north east direction with a uniform acceleration of 0.2 m/s2 and at t = 0, it has a speed of 54 kmph. At the same time (t = 0), a Benz car started from different location from rest and travelling in east direction with a uniform acceleration of 0.4 m/s2. At t = 25 sec, a passenger sitting in Benz observed the train on his left side.

    (Assume the angle is measured from east direction)

  • Question 17
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    A bullet is fired from a gun. The force on the bullet is given by F = 600 – 2 × 105 t where F is in newton and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

  • Question 18
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    A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 - t2 - 1. The acceleration of the particle after one second will be-

  • Question 19
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    The ratio of moment of inertia of a circular plate to that of a square plate for equal depth is

  • Question 20
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    In an IPL match between MI and RCB, Chahal bowled a full toss delivery to Rohit, Rohit pulled it away for a maximum. The mass of the ball is 160 gms and the mass of the Rohit’s bat is 1.5 kg. The speed of ball is 90 kmph just before the hit and 144 kmph just after the hit. The bat swing speed just before hitting the ball is 54 kmph and the ball is in contact with the bat for 3 ms.

    (Assume hitting the ball with bat as a 1D collision)

  • Question 21
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    A rubber ball is thrown vertically upward with a velocity u from the top of a building. It strikes the ground with a velocity 3u. The time taken by the ball to reach the ground is given by:

  • Question 22
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    The resultant of two equal forces P making an angle θ, is given by

  • Question 23
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    The motion of a particle moving along a curve is defined by y = x3- 3x + 150, starting with an initial velocity of \(\overrightarrow {{V_0}} = 3\hat i - 14\hat j\) m/s. If Vx is constant, then which of the following statements are true at x = 5 m?

  • Question 24
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    Moment of inertia of a circular section about an axis perpendicular to the section is

  • Question 25
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    What is Engineering Mechanics?

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