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Q. The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be

(A) 2.7
(B) 2.55
(C) 107 dynes
(D) 2.6

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Q. Which of the following statement is false?

(A) The potential energy of a particle has the form Ep = k2x. The force acting on the particle is constant (k is a constant)
(B) The linear velocity of bodies near the earth's equator (due to rotation of earth) is more than the velocities of particles at the pole
(C) 107 dynes
(D) The density of milk decreases when cream is taken out of milk

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Q. A crate weighing 40 kg rests on a cart moving with an acceleration W. The coefficient of friction between the cart and the crate is

(A) 2.45 m/sec2
(B) 4.00 m/sec2
(C) 0.25 m/sec2
(D) 4.16 m/sec2

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Q. The centroid of a triangle is at the inter-section of

(A) perpendicular bisectors
(B) 107 dynes
(C) base and perpendicular from opposite vertex
(D) medians

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Q. If there are 3 pulleys in the first system, then the velocity ratio of this system will be

(A) 8
(B) 2
(C) 4
(D) 107 dynes

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Q. A locomotive of weight 100 tonnes is attached to train of wagons weighing 1000 tonnes. The locomotive pulls the wagons with a constant velocity of 36 km/hour. When the coupling between the train and wagons breaks, the wagons roll on 95 m in 10 sec. The distance between the locomotive and the wagons at this instant assuming that the forces acting on the train are unaltered would be

(A) 0.36 m
(B) 0.44 m
(C) 0.77 m.
(D) 0.5 m

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Q. A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2?

(A) 10
(B) 9
(C) 11
(D) 8

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Q. A wheel accelerates from rest with an acceleration of 6 rad/sec2. How many revolutions are experienced in 4 seconds?

(A) 12.36
(B) 25.6
(C) 9.82
(D) 7.64

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Q. The tension in the wire rope supporting a lift moving with a uniform velocity

(A) Is more when the lift is moving upwards
(B) Is more when the lift is moving downwards
(C) Is less when the lift is moving down-wards
(D) Remains constant irrespective of the lift movement

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Q. A machine requires an effort of 10 kg to lift a load of 250 kg and an effort of 13 kg for a load of 400 kg. The effort required to lift a load of 500 kg will be

(A) 25 kg
(B) 107 dynes
(C) 15 kg
(D) 35 kg

Applied Mechanics MCQs with answers Page - 49

Q. The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be

Q. Which of the following statement is false?

Q. A crate weighing 40 kg rests on a cart moving with an acceleration W. The coefficient of friction between the cart and the crate is

Q. The centroid of a triangle is at the inter-section of

Q. If there are 3 pulleys in the first system, then the velocity ratio of this system will be

Q. A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2?

Q. A wheel accelerates from rest with an acceleration of 6 rad/sec2. How many revolutions are experienced in 4 seconds?

Q. The tension in the wire rope supporting a lift moving with a uniform velocity

Q. A machine requires an effort of 10 kg to lift a load of 250 kg and an effort of 13 kg for a load of 400 kg. The effort required to lift a load of 500 kg will be

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