Applied Mechanics And Graphic Statics MCQ Questions & Answers

1

On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force

A) Acts tangentially to the circular path B) Acts towards the centre of rotation C) Acts away from the centre of rotation D) Is $$\frac{{{\text{m}}{{\text{w}}^{2{\text{r}}}}}}{g}{\text{kfg}}$$

Discuss

Answer & Solution

Answer: Option C

Solution:

The centrifugal force on a mass 'm' describing a circular path of radius 'r' acts away from the centre of rotation. It is given by the formula:
F = (m * w^2 * r) / g
Where:
F is the centrifugal force
m is the mass
w is the angular velocity
r is the radius of the circular path
g is the acceleration due to gravity
kfg is not relevant to the context and seems to be a typo or irrelevant notation in the provided options.
Therefore, the correct option is:
Option C: Acts away from the centre of rotation

2

The condition of equilibrium for any system of forces in a plane is

A) That polygon of forces must close B) That resultant couple must be zero C) Both (A) and (B) D) None of the above

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

3

The force acting on a point on the surface of a rigid body may be considered to act

A) At the centre of gravity of the body B) On the periphery of the body C) On any point on the line of action of the force D) At any point on the surface normal to the line of action of the force

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

4

A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
i. 1.0 in from the wall
ii. 1.732 m from the wall
iii. 1.0 m above the floor
iv. 1.732 m above the floor
The correct answer is

A) (i) and (iii) B) (i) and (iv) C) (ii) and (iii) D) (ii) and (iv)

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

5

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then
i. a force is required to move the body upwards
ii. a force is required to move the body downward
iii. the body will not be in equilibrium
The correct answer is

A) only (i) B) only (ii) C) both (i) and (ii) D) both (i) and (iii)

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

6

The torque produced by a force depends on
i. the magnitude of the force
ii. the direction of the force
iii. the point of application of the force relative to origin
The correct answer is

A) only (i) B) both (i) and (ii) C) both (i) and (iii) D) all (i), (ii) and (iii)

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

7

Select the correct statement

A) The body centrode rolls on the space centrode B) The space centrode rolls on the body centrode C) Both body and space centrodes may role on each other D) The body centrode never touches space centrode

Discuss

Answer & Solution

Answer: Option A

No explanation is given for this question. Let's Discuss on Board

8

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A) P = R B) Q = R C) P = Q D) None of the above is correct

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board

9

Power developed by a torque, is

A) $$2\pi {\text{NT kg m/min}}$$ B) $$\frac{{2\pi {\text{NT}}}}{{4500}}{\text{h}}{\text{.p}}{\text{.}}$$ C) $$\frac{{2\pi {\text{NT}}}}{{60}}{\text{watts}}$$ D) All the above

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

10

The shape of a suspended cable for a uniformly distributed load over it is

A) Circular B) Parabolic C) Catenary D) Cubic parabola

Discuss

Answer & Solution

Answer: Option B

Solution:

The correct answer is B: Parabolic.

Here's why:

* Uniformly Distributed Load: This means the load is spread evenly across the horizontal span of the cable (like the weight of a bridge deck hanging from the cable).

* Parabolic Shape: When a cable is subjected to a uniformly distributed load horizontally, the cable takes the shape of a parabola. This shape ensures that the tension in the cable is efficiently distributed to support the load.

* Catenary Shape (Why it's not the answer): A catenary curve is the shape a cable takes when it's only supporting its own weight (or a load distributed along the length of the cable itself, not horizontally). Think of a cable hanging freely between two points.

* Other Options: Circular and Cubic Parabola shapes are not naturally formed by suspended cables under common loading conditions like a uniform distributed load.

Applied Mechanics And Graphic Statics MCQ Questions & Answers | Civil Engineering