Applied Mechanics And Graphic Statics — Part 2 MCQs with Explanations

pyramid is the correct answer to “A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

2μ is the correct answer to “‘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”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

kg.m is the correct answer to “The unit of moments in M.K.S system, is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

105 dynes is the correct answer to “One Newton force, is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Zero at its upper end is the correct answer to “On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Upwards at its upper end is the correct answer to “On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

45° is the correct answer to “For a given velocity of a projectile, the range is maximum when the angle of projection is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\alpha = \frac{\pi }{2} + \frac{\beta }{2}$$ is the correct answer to “For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\frac{1}{{2\pi }}\sqrt {\frac{\alpha }{\theta }} $$ is the correct answer to “If $$\alpha $$ is the angular acceleration of a compound pendulum whose angular displacement is $$\theta $$, the frequency of the motion is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

314 is the correct answer to “In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

More than that of BC is the correct answer to “A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

0.50 cm is the correct answer to “From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

180° and 0° is the correct answer to “The angles between two forces to make their resultant a minimum and a maximum respectively are”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

2 sec and 99.4 cm is the correct answer to “Time period and length of a second’s pendulum respectively are”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

1346.3 kN and 1250 kN is the correct answer to “A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Circle and straight line is the correct answer to “When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Energy is the correct answer to “Which of the following is a scalar quantity”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Zero is the correct answer to “The motion of a particle is described by the relation x = t 2 - 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

25 kg is the correct answer to “Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

The force of friction always acts in a direction opposite to that in which the body tends to move is the correct answer to “The following is not a law of static friction:”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

4 J is the correct answer to “A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Centripetal force is the correct answer to “A satellite moves in its orbit around the earth due to”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Centrifugal force is the correct answer to “A satellite goes on moving along its orbit round the earth due to”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

0.05 m/sec is the correct answer to “A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

3 m/sec and 2 m/sec is the correct answer to “Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are:”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Complete oscillation is the correct answer to “Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$${\text{v}} = \omega \sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$ is the correct answer to “If a particle moves with a uniform angular velocity $$\omega $$ radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

10 sec is the correct answer to “A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\sqrt {\frac{{{\text{gra}}}}{{\text{h}}}} $$ is the correct answer to “A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Dyne is the correct answer to “The unit of force in C.G.S. system of units, is called”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

80 g is the correct answer to “A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\frac{{{\text{w}}\sin \left( {\theta - \varphi } \right)}}{{\cos \varphi }}$$ is the correct answer to “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 $$\theta $$ and angle of friction is $$\varphi $$, the minimum value of P, is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

5 rad/sec is the correct answer to “If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\frac{{{{\text{a}}^2} + {\text{ab}} + {{\text{b}}^2}}}{{3\left( {{\text{a}} + {\text{b}}} \right)}}$$ is the correct answer to “The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is b and the vertical side is a, from its vertical face is”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

5 kg is the correct answer to “If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Original velocity in the opposite direction is the correct answer to “The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is $$\frac{1}{2}$$, the velocities of separation of the balls will be equal to”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$$\frac{{{\text{g}}\left( {{{\text{M}}_1} - {{\text{M}}_2}\sin \alpha } \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}{\text{m/se}}{{\text{c}}^2}$$ is the correct answer to “When a body of mass M 1 is hanging freely and another of mass M 2 lying on a smooth inclined plane ($$\alpha $$) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M 1 , will be given by”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

$${\text{T}} = \frac{{{\text{g}}\left( {{{\text{M}}_1} - {{\text{M}}_2}} \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}$$ is the correct answer to “If two bodies of masses M 1 and M 2 (M 1 > M 2 ) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Does not move at all is the correct answer to “The resultant of the forces acting on a body will be zero if the body”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.

Frequency is the correct answer to “For a body moving with simple harmonic motion, the number of cycles per second, is known as its”. This question is standard in competitive examination syllabi for Applied Mechanics And Graphic Statics.