In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will

If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be
Engineering Mechanics mcq question image

Engineering Mechanics mcq question image

A

Same

B

Half

C

Double

D

None of these

Two bodies of masses m₁ and m₂ are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be
Engineering Mechanics mcq question image

A

$$\frac{{{\text{g}}\left( {{{\text{m}}_1} - {{\text{m}}_2}} \right)}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

B

$$\frac{{2{\text{g}}\left( {{{\text{m}}_1} - {{\text{m}}_2}} \right)}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

C

$$\frac{{{\text{g}}\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}{{{{\text{m}}_1} - {{\text{m}}_2}}}$$

D

$$\frac{{2{\text{g}}\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}{{{{\text{m}}_1} - {{\text{m}}_2}}}$$

A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is $$\frac{1}{3}$$, the acceleration is
Applied Mechanics and Graphic Statics mcq question image

Applied Mechanics and Graphic Statics mcq question image

A

0.5 m/sec²

B

0.75 m/sec²

C

1.00 m/sec²

D

1.25 m/sec²

A block of mass m₁, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m₂, which moves vertically downwards as shown in the below figure. The tension in the string is
Engineering Mechanics mcq question image

A

$$\frac{{{{\text{m}}_1}}}{{{{\text{m}}_2}}}$$

B

$${{\text{m}}_1}{\text{g}}\sin \alpha $$

C

$$\frac{{{{\text{m}}_1}{{\text{m}}_2}}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

D

$$\frac{{{{\text{m}}_1}{{\text{m}}_2}{\text{g}}\left( {1 + \sin \alpha } \right)}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction.
Engineering Mechanics mcq question image

A

Increase

B

Decrease

C

Not be effected

D

None of these

A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
Hydraulics and Fluid Mechanics in ME mcq question image

Hydraulics and Fluid Mechanics in ME mcq question image

A

$$\frac{{{\text{b}}{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$

B

$$\frac{{{{\text{d}}^2}}}{{12\overline {\text{x}} }} + \overline {\text{x}} $$

C

$$\frac{{{{\text{b}}^2}}}{{12}} + \overline {\text{x}} $$

D

$$\frac{{{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$

For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is
Applied Mechanics and Graphic Statics mcq question image

A

1 sec

B

2 sec

C

3 sec

D

4 sec

A mass m is constrained to move on a horizontal frictionless surface. It is set in circular motion with radius r₀ and angular speed ω₀ by an applied force $$\overrightarrow {\bf{F}} $$ communicated through an inextensible thread that passesthrough a hole on the surface as shown in figure given below. Then, this force is suddenly doubled.
Classical Mechanics mcq question image

The magnitude of the radial velocity of the mass

A

increases till mass falls into hole

B

decreases till mass falls into hole

C

remains constant

D

becomes zero at radius r₁, where 0 1 0

If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
Engineering Mechanics mcq question image

A

Same

B

Half

C

Double

D

None of these

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
Applied Mechanics and Graphic Statics mcq question image

A

$$\frac{{\text{h}}}{3} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$

B

$$\frac{{\text{h}}}{3} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$

C

$$\frac{{\text{h}}}{2} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$

D

$$\frac{{\text{h}}}{2} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$

In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will

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