One shot Marathon Series II Engineering Mechanics for ESE & GATE ME Exams

Question 1

The magnitude of force in member BD (in KN) is ____

Question 2

Forces are called concurrent when their lines of action meet in

Question 3

Assumption made in truss analysis

Question 4

Find the acceleration of 3 kg mass when acceleration of 2 kg mass in 2ms^–2 as shown in figure.

Question 5

What does the principle of conservation of linear momentum state?

Question 6

The law of parallelogram of forces gives the resultant of —

Question 7

A Roller of weight w is rolled over a fixed wooden block. The pull F required to just cause the said motion is.

Question 8

Langrange mechanics works on the principle of_____.

Question 9

According to Newton’s first law of motion, the body acted upon by a coplanar system of forces is said to be in equilibrium when

Question 10

A ring B is held by cables AB, BC and BD (passing over a pulley). Weight applied at the end of cable BD is 500 N. Find the value of T₁ in N. Cable BD and BC makes 30

and 45

respectively with horizontal.

Question 11

A man is standing on weighing machine. The free body diagram at this system is show

The weight recorded by machine is due to

Question 12

Two cars are going round concentric circles of radii r₁ and r₂ and take the same time to complete their circular paths ,their linear speeds

will corresponds to the ratio.

Question 13

Suppose a triangle ABC with S as the Centroid and D is the median. If BD=21 and the vertices of a triangle are (0 , –2) , (4 , 0) , and (2 , 8). Find the coordinates of the Centroid of the triangle.

Question 14

Consider the following scenario and calculate impulse (in kg m/s) on object ‘B’ during the collision. (Assume elastic collision)

Question 15

A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is ____________

Question 16

The Centroid of the given figure is

Question 17

A body goes from point A to B on a semicircle of radius 1 m in 1 sec. The average speed & average velocity are

Question 18

Two masses A and B of 10 kg and 5 kg respectively are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in figure. The coefficient of friction of A with the table is 0.2 . The minimum mass (in kg) of C that may be placed on A to prevent if from moving is equal to:

Question 19

The wheel of a motor accelerated uniformly from rest rotate through 3.5 radian during first second then the angle rotated during the next second will be_______ radian.

Question 20

The figure shows a plane truss having a vertical downward force of P applied at joint B. F_ED is

Question 21

A stationary body of mass m is slowly lowered onto a massive platform of mass M (M>>m) moving at a speed V₀ = 4 m/s as shown in fig. How far will the body slide along the platform? ( µ = 0.2 and g = 10 m/s²)

Question 22

A rope of mass 5 kg is moving vertically in vertical position with an upwards force of 100 N acting at the upper end and a downwards force of 70 N acting at the lower end. The tension (in Newton) at midpoint of the rope is

Question 23

The magnitude of moment (in Nm) of a 90 N force about Point C for the condition θ = 15° is ___.

Question 24Multiple Correct Options

select the correct statements regarding velocity ratio and mechanical advantage of single wedge system.

Question 25Multiple Correct Options

Direction: The question has FOUR options. ONE OR MORE THAN ONE of these four option(s) is(are) correct answer(s).

The velocity of a particle moving in the positive direction of x-axis varies as v = 10

. Assuming that at t = 0 particle was at x = 0. Then