**Engineering Mechanics **is one of the basic topic that comes under **Mechanical engineering aptitude test. **Engineering Mechanics is an analytical tool that enables an engineer to optimize a design, that is strong and rigid to use. Physics is the basis for** Mechanical aptitude.**Statics and dynamics are the subdivisions of **Engineering Mechanics. ** Here we present you with problems on all topics that comes under Engineering Mechanics**.**

1) Questions: Find the value of a, s, k from the following equation

* * –*a* + *s* + *k* = –1 * ; * *a* + 2*s* – 2*k* = 5 ; *a* – *s* + *k* = –1 ; calculate the value of a, s, k

*A. a* = -1, s = 1, *k* = –1 B. *a* = 1, s = 1, *k* = –1

*C. a* = 1/2, *s* = 3/2, k = –1 D. *a *= 1, *s* =- 1, *k* = 1

Answer : Option B

2) Question : Forces are said to be concurrent when their lines of action meet in

A. Perpendicular plane B. Parallel plane

C. 2 points D. 1 point

Answer : Option D

3) Question :** **If right angle *DBC* is similar to right angle *D’B’C’*. Determine the length of side *DB*

A. DB = 5 B. DB = 6

C. DB = 5.24 D. DB = 7

Answer : Option A

4) Question : A car is free to roll during the collision, calculate the average horizontal collision force causing the deformation. If a car of mass 2 Mg strikes a smooth, hard sign post with an initial speed 30 km/h. To halt the car, the front end horizontally de-forms 0.2 m.

A. Favg = 1147 kN B. Favg = 347 kN

C. Favg = 9145 kN D. Favg = 340 kN

Answer : Option B

5)** **By adding the rectangular components of the three forces. Determine the magnitude of the resultant force

A. R = 35.78 N B. R = 37.03 N

C. R = 29.7 N D. R = 20.9 N

Answer : Option C** **

6) Question : Effect of a force on a body depends upon

A. Magnitude B. Direction.

C. Both A and B D. None of the above

Answer : Option C** **

7) Question : Determine the projection of the moment of a force about the hinged axis *z*. If a force of 50 N is applied to the handle of a door. Neglect the size of the doorknob.

P.S – Use a scalar analysis.

A. Mz = 15.9 N-m B. Mz = 11.9 N-m

C. Mz = -11.9 N-m D. Mz = -15.9 N-m

Answer : Option D

8) Questions : Among the following do not have identical dimensions ?

A. Moment of a force and angular momentum. B.Torque and work

C. Momentum and impulse D. None of the above

Answer : Option A

9) Questions : Determine the horizontal and vertical components of the impulse of a golf ball , if its mass is 40 g and struck such that it has an initial velocity of 200 m/s .

A. Impx = 8.93 N-s, Impy = 3.00 N-s B. Impx = 4.00 N-s, Impy = 6.93 N-s

C. Impx = 3.00N-s, Impy = 8.93N-s D. Impx = 6.93 N-s, Impy = 4.00 N-s

Answer : Option D

10) Question : Determine how long it takes for the cylinder to stop spinning if its mass is 50-kg and has an angular velocity of 30 rad/s when it is brought into contact with the horizontal surface at *C*. If the coefficient of friction is µc = 0.2 . Estimate the force developed at the pin *A* during this time? The cylinder axis is connected to 2 symmetrical links. ( P.s : *AB* is only shown.) For the computation, minus the weight of the links.

A. t = 3.06 s, A = 49.1 N B. t = 1.529 s, A = 49.1 N

C. t = 2.129 s, A = 47.1 N D. t = 1.529 s, A =0

Answer : Option B

11) Questions : The weight of a body is due to

A. force of attraction experienced by particles B.centripetal force of earth

C. Gravitational pull exerted by the earth D. None of the above

Answer : Option C

12) Question :Determine the length of side AB of the right triangle. Using the basic trigonometric functions.

A. h = 13 B. h = 15

C. h = 17 D. h = 10

Answer : Option D

13) Questions : Use a vector analysis and express the result in Cartesian vector form. To determine the moment of the force at *A* about point *P*.

Answer: Option A

14) Questions : A train travels along a horizontal circular curve that has a radius of 200 m. Determine the magnitude of the acceleration at the instant the speed of the train is 40 km/h, If train speed is uniformly increased from 30 km/h to 45 km/h in 5 s.

A. a = 0.37 m/s2 B. a = 1.097 m/s2

C. a = 1.937 m/s2 D. a = 1.037 m/s2

Answer : Option D

15) Question : Determine the time required to stop the car and the distance traveled before stopping.If a car is traveling at a speed of 80 ft/s when the brakes are applied suddenly which causes a constant deceleration of 10 ft/s2.

A. t = 4 s, s = 140 ft B. t = 8 s, s = 240 ft

C. t = 8 s, s = 320 ft D. t = 6 s, s = 240 ft

Answer : Option C