Questions and answers for exam Preparation

MCQs

Total Questions : 1284 | Page 2 of 129 pages

Question 11. If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is

wl/4y
wl/8y
wl/2y
wl

Discuss Question

Answer: Option B. -> wl/8y

Question 12. ‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. if it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l cos ϕ + r sin ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)

Discuss Question

Answer: Option C. -> ω (l sin ϕ + r cos ϕ tan θ)

Question 13. ‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. if it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l cos ϕ + r sin ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)

Discuss Question

Answer: Option C. -> ω (l sin ϕ + r cos ϕ tan θ)

Question 14. Ball ‘a’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘b’ on the table. if the impact is perfectly elastic, the velocity of the ball ‘b’ just after impact would be

Zero
5 m/sec
10 m/sec
None of these

Discuss Question

Answer: Option C. -> 10 m/sec

Question 15. ‘μ’ is coefficient of friction. a wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

μ
2μ
3μ
½μ

Discuss Question

Answer: Option B. -> 2μ

Question 16. ‘μ’ is coefficient of friction. a wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

μ
2μ
3μ
½μ

Discuss Question

Answer: Option B. -> 2μ

Question 17. 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 cos (θ + φ)/cos φ
w sinθ cos(θ - φ)/sin φ

Discuss Question

Answer: Option B. -> w sin (θ - φ)/cos φ

Question 18. 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 cos (θ + φ)/cos φ
w sinθ cos(θ - φ)/sin φ

Discuss Question

Answer: Option B. -> w sin (θ - φ)/cos φ

Question 19. 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 cos (θ + φ)/cos φ
w sinθ cos(θ - φ)/sin φ

Discuss Question

Answer: Option B. -> w sin (θ - φ)/cos φ

Question 20. 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