APPLIED MECHANICS AND GRAPHIC STATICS QUIZ

A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

w sin (φ - θ)/cos φ

w sin (θ - φ)/cos φ

w sinθ cos(θ - φ)/sin φ

w cos (θ + φ)/cos φ

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A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec

25 m/sec

50 m/sec

15 m/sec

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A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/3

3

1/4

4

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The torque produced by a force depends oni. the magnitude of the forceii. the direction of the forceiii. the point of application of the force relative to originThe correct answer is

all (i), (ii) and (iii)

only (i)

both (i) and (ii)

both (i) and (iii)

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‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

e = v₁ - v₂/u₂ + u₁

e = u₂ - u₁/v₁ - v₂

e = v₂ - v₁/u₁ - u₂

e = v₁ - v₂/u₂ - u₁

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If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

30°

60°

120°

45°

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A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called

None of these

Second's pendulum

Compound pendulum

Simple pendulum

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Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

Half oscillation

Quarter oscillation

Complete oscillation

None of these

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On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force

Acts away from the centre of rotation

Acts tangentially to the circular path

Is mw2r/g kgf

Acts towards the centre of rotation

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The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

√3 kg and √5 kg

1 kg and 4 kg

3 kg and 5 kg

2 kg and 3 kg

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YOUR ANSWER : ?

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