Engineering Mechanics Mock Test 1

10%

Question 1 of 10

1. Three vectors emerging from a point are always in a single plane.

True

False

Question 1 of 10

Question 2 of 10

2. What is the difference between a position vector and unit vector?

Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no direction

Position vector has some magnitude and direction, while the unit vector has magnitude = 0 and no direction

Position vector has some magnitude and direction, while the unit vector has magnitude = 1 and a specified direction

Position vector has magnitude = 1 and direction, while the unit vector has magnitude = 0 and no direction

Question 2 of 10

Question 3 of 10

3. We can add the force vectors directly. But with dividing each by it’s magnitude first.

True

False

Question 3 of 10

Question 4 of 10

4. If a car is moving forward, what is the direction of the moment of the moment caused by the rotation of the tires?

It is heading forward, i.e. the direction is towards the forward direction of the motion of the car

It is heading outwards, i.e. the direction is towards outside of the car

It is heading backward, i.e. the direction is towards the back side of the motion of the car

It is heading inwards, i.e. the direction is towards inside of the car

Question 4 of 10

Question 5 of 10

5. Express the vector in the Cartesian Form, if the angle made by it with y and z axis is 60˚ and 45˚ respectively. Also, it makes an angle of α with the x-axis. The magnitude of the force is 200N.

100i + 100j + 141.4k N

100i - 100j + 141.4k N

100i + 100j - 141.4k N

100i - 100j - 141.4k N

Question 5 of 10

Question 6 of 10

6. A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:

Rcosine (α) and Rsine(180+α)

Rcosine (180-α) and Rsine(180+α)

Rcosine (180-α) and Rsine(α)

Rcosine (α) and Rsine(α)

Question 6 of 10

Question 7 of 10

7. What is the mixed triple product of three vectors?

S.(P.Q)

Sx(PxQ)

Sx(P.Q)

S.(PxQ)

Question 7 of 10

Question 8 of 10

8. Which among the following is the distributive law for the cross product of three vectors?

Px(QxS) = (PxQ) + (PxS)

Px(Q+S) = (PxQ) + (PxS)

Px(Q+S) = (PxQ) + (QxS)

Px(QxS) = (PxQ) x (PxS)

Question 8 of 10

Question 9 of 10

9. What is the dot product of the components of the force vector shown in the figure, i.e. the dot product of the z-axis component and the y-axis component of the force?

200cos30°

200cos60°

200sin45°

Question 9 of 10

Question 10 of 10

10. If two equal vector forces are mutually perpendicular then the resultant force is acting at which angle as compared to one of the vector?

90 degree

45 degree

0 degree

180 degree

Question 10 of 10