# Applied Mechanics MCQ Exam Questions – Set 08

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(A) 10 m/sec
(B) 15 m/sec
(C) 20 m/sec
(D) 25 m/sec

(A) 2
(B) 3
(C) 4
(D) 5

(A) T = 2ω/π²
(B) T = 2π/ω
(C) T = 2/ω
(D) T = π/2ω

(A) Zero
(B) 1
(C) 2
(D) Infinity

## Q5. Pick up the incorrect statement from the following:

(A) The C.G. of a circle is at its centre
(B) The C.G. of a triangle is at the intersection of its medians
(C) The C.G. of a rectangle is at the intersection of its diagonals
(D) The C.G. of a semicircle is at a distance of r/2 from the centre

Answer: (D) The C.G. of a semicircle is at a distance of r/2 from the centre

## Q6. The locus of the instantaneous centre of a moving rigid body, is

(A) Straight line
(B) Involute
(C) Centroid
(D) Spiral

## Q7. Periodic time of body moving with simple harmonic motion, is

(A) Directly proportional to its angular velocity
(B) Directly proportional to the square of its angular velocity
(C) Inversely proportional to the square of its angular velocity
(D) Inversely proportional to its angular velocity

Answer: (D) Inversely proportional to its angular velocity

## Q9. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

(A) 400 watts
(B) 500 watts
(C) 4000 watts
(D) None of these

## Q10. A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

(A) [r (π + 0.25)]/(π – 0.5)
(B) [r (π – 0.5)]/(π + 0.25)
(C) [r (π – 0.25)]/(π – 0.5)
(D) [r (π + 0.25)]/(π + 0.5)

Answer: (C) [r (π – 0.25)]/(π – 0.5)

## Q11. A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

(A) Floor is smooth and the wall is rough
(B) Floor is rough and the wall is smooth
(C) Floor and wall both are smooth surfaces
(D) Floor and wall both are rough surfaces

Answer: (C) Floor and wall both are smooth surfaces

## Q12. Minimum pull in a suspended cable with supports at two ends is equal to

(A) Horizontal thrust
(B) Support reactions
(C) Resultant of horizontal thrust and support reaction
(D) Half the weight of the cable

(A) 0.5 m/sec2
(B) 0.75 m/sec2
(C) 1.00 m/sec2
(D) 1.25 m/sec2

(A) g/2
(B) g/3
(C) g/4
(D) g/5

(A) 2 t
(B) 5.8 t
(C) 0.2 t
(D) 3.5 t