Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.

A

Equal to

B

Less than

C

Greater than

D

None of these

According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then

A

Their algebraic sum is zero

B

Their lines of action are at equal distances

C

The algebraic sum of their moments about any point in their plane is zero

D

The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point

The below figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

A

$$\frac{{\text{P}}}{{\sin \beta }} = \frac{{\text{Q}}}{{\sin \alpha }} = \frac{{\text{R}}}{{\sin \gamma }}$$

B

$$\frac{{\text{P}}}{{\sin \alpha }} = \frac{{\text{Q}}}{{\sin \beta }} = \frac{{\text{R}}}{{\sin \gamma }}$$

C

$$\frac{{\text{P}}}{{\sin \gamma }} = \frac{{\text{Q}}}{{\sin \alpha }} = \frac{{\text{R}}}{{\sin \beta }}$$

D

$$\frac{{\text{P}}}{{\sin \alpha }} = \frac{{\text{Q}}}{{\sin \gamma }} = \frac{{\text{R}}}{{\sin \beta }}$$

The below figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then
Engineering Mechanics mcq question image

Engineering Mechanics mcq question image

A

$$\frac{{\text{P}}}{{\sin \beta }} = \frac{{\text{Q}}}{{\sin \alpha }} = \frac{{\text{R}}}{{\sin \gamma }}$$

B

$$\frac{{\text{P}}}{{\sin \alpha }} = \frac{{\text{Q}}}{{\sin \beta }} = \frac{{\text{R}}}{{\sin \gamma }}$$

C

$$\frac{{\text{P}}}{{\sin \gamma }} = \frac{{\text{Q}}}{{\sin \alpha }} = \frac{{\text{R}}}{{\sin \beta }}$$

D

$$\frac{{\text{P}}}{{\sin \alpha }} = \frac{{\text{Q}}}{{\sin \gamma }} = \frac{{\text{R}}}{{\sin \beta }}$$

The system of forces acting on the aircraft are propulsive forces, aerodynamic forces, gravitational forces and these result in inertial forces.

A

True

B

False

Identify the correct theorem in relation with the statement given below: "When three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two forces".

A

Hook's Theorem

B

Castigliano Theorem

C

Von mises Theorem

D

Lami's Theorem

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

A

Concurrent

B

Parallel

C

Concurrent parallel

D

None of these

There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row

A

19

B

37

C

27

D

55

In a group of 50 students who either want to join defence forces or paramilitary forces, out of which 40 students want to join defence forces and 30 want to join paramilitary forces. Find the number of students who want to join only defence forces.

A

15

B

20

C

12

D

10

E

None of these

Consider the following statements: (a) Tellegen’s theorem is applicable to any lumped networks (b) The reciprocity theorem is applicable to linear bilateral networks (c) Thevenin’s theorem is applicable to two - terminal linear active networks (d) Norton’s theorem is applicable to two - terminal linear active networks Which of the above statements are correct?

A

(a), (b) and (c) only

B

(a), (b) and (d) only

C

(a), (b), (c) and (d)

D

(b), (c) and (d) only

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

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