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The force induced in the string BC due to the load 'W' as shown in the below figure is<br> <img src="/images/question-image/mechanical-engineering/engineering-mechanics/1528353222-12.jpg" title="Engineering Mechanics mcq question image" alt="Engineering Mechanics mcq question image">
A
W sinθ
B
W cosθ
C
W tanθ
D
W cotθ
Correct Answer:
W cotθ
The force induced in the string AB due to the load W, as shown in the below figure is
A
W sinθ
B
W cosθ
C
W secθ
D
W cosecθ
A block of mass m
1
, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m
2
, which moves vertically downwards as shown in the below figure. The tension in the string is
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.
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
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 r
0
and angular speed ω
0
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.
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 r<sub>1</sub>, 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.
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.
A
Will
B
Will not
C
Either A or B
D
None of these
Two bodies of masses m
1
and m
2
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
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
A
Same
B
Half
C
Double
D
None of these
If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be
A
Same
B
Half
C
Double
D
None of these
