# Applied Mechanics and Graphic Statics Mcqs

This set of Civil Engineering Multiple Choice Questions & Answers (MCQs) focuses on “ Applied Mechanics and Graphic Statics ”. These Mcqs are chosen from a collection of most authoritative and best reference books on Civil Engineering. Our aim is to prepare an individual for competitive exams like NTS, GAT, ECAT, University and College entrance exams, Jobs and interviews. One should practice our MCQS to assimilate Applied Mechanics and Graphic Statics comprehensively.

## 3. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?

Sphere with greater rotational energy at bottom than cylinder

Sphere with lesser rotational energy at bottom than cylinder

Cylinder with greater rotational energy at bottom than sphere

Both reach the bottom simultaneously with equal rotational energy at bottom

## Answer & Solution

**B . Sphere with lesser rotational energy at bottom than cylinder**

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## 4. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?

(1/3) g sinB

(2/3) g cos 9

(2/3) g sin 0

G sin 9

## Answer & Solution

**C . (2/3) g sin 0**

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## 5. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

Less than (1/3) tan 0

Less than (2/3) tan 0

Less than (1/3) sin 6

Less than (2/3) sin 6

## Answer & Solution

**A . Less than (1/3) tan 0**

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## 6. If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________?

1 rad/sec2

4 rad/sec2

6 rad/sec2

12 rad/sec2

## Answer & Solution

**C . 6 rad/sec2**

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## 7. A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?

6 m/sec

12 m/sec

24 m/sec

48 m/sec

## Answer & Solution

**B . 12 m/sec**

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## 8. Instantaneous center is at infinity when the angular velocity is _________________?

Constant

Zero

Maximum

Minimum

## 9. 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 ? **1) 1.0 in from the wall**

2) 1.732 m from the wall

3) 1.0 m above the floor

4) 1.732 m above the floor

**1) 1.0 in from the wall
2) 1.732 m from the wall
3) 1.0 m above the floor
4) 1.732 m above the floor**

(1) and (3)

(1) and (4)

(2) and (3)

(2) and (4)

## Answer & Solution

**D . (2) and (4)**

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## 10. The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

36°

45°

56°

76°

## 11. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in________________?

5 sec

8 sec

10 sec

20 sec

## 12. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?

Zero

Maximum

Minimum

Unpredictable

## 13. The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?

45°

Tan-1 (2)

Tan-‘ (4)

Tan”1 (1/4)

## Answer & Solution

**C . Tan-‘ (4)**

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## 14. In a simple harmonic motion, the position of equilibrium is always_________________?

Stable

Unstable

Neutral

None of the above

## 15. The time period of a simple pendulum depends on__________________? 1) mass of suspended particle

2) length of the pendulum

3) acceleration due to gravity

The correct answer is

1) mass of suspended particle

2) length of the pendulum

3) acceleration due to gravity

The correct answer is

only (1)

both (2) and (3)

both (1) and (3)

all are correct

## Answer & Solution

**B . both (2) and (3)**

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## 16. The maximum displacement of a particle executing S.H.M. corresponds to__________________?

Zero potential energy and maximum kinetic energy

Zero kinetic energy and maximum potential energy

Maximum kinetic energy and maxi-mum potential energy

Minimum kinetic energy and minimum potential energy

## Answer & Solution

**B . Zero kinetic energy and maximum potential energy**

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