The force induced in the string AB due to the load W, as shown in the below figure is<br> <img src="/images/question-image/mechanical-engineering/engineering-mechanics/1528353131-12.jpg" title="Engineering Mechanics mcq question image" alt="Engineering Mechanics mcq question image">

For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

The force induced in the string BC due to the load 'W' as shown in the below figure is
Engineering Mechanics mcq question image

A

W sinθ

B

W cosθ

C

W tanθ

D

W cotθ

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 weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is
Applied Mechanics and Graphic Statics mcq question image

Applied Mechanics and Graphic Statics mcq question image

A

50 kg

B

750 kg

C

100 kg

D

120 kg

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

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.
Engineering Mechanics mcq question image

A

Half

B

Equal to

C

Double

D

None of these

Two blocks ‘A’ and ‘B’ of masses 150 kg and 50 kg respectively are connected by means of a string as shown in the below figure. The tension in all the three strings __________ be same.
Engineering Mechanics mcq question image

A

Will

B

Will not

C

Either A or B

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

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

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 force induced in the string AB due to the load W, as shown in the below figure is

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