Engineering Mechanics CBCGS 2017-2018 BE Civil Engineering Semester 1 (FE First Year) Question Paper Solution

state and prove varigon’s theorem.

Find the resultant of the force system as shown in the given figure.

Find the co-ordinate of the centroid of the area as shown in the given figure.

A force of 500 N is acting on a block of 50 kg mass resting on a horizontal surface as shown in the figure. Determine the velocity after the block has travelled a distance of 10m. Co efficient of kinetic friction is 0.5.

The position vector of a particle which moves in the X-Y plane is given by 𝒓̅ = (3t³-4t²)𝒊̅ + (0.5t⁴)𝒋̅

Find the resultant of the force acting on the bell crank lever shown. Also locate its position with respect to hinge B.

Given : Forces on the bell crank lever
To find : Resultant and it’s position w.r.t hinge B

Determine the reaction at points of constant 1,2 and 3. Assume smooth surfaces.

Given: The spheres are in equilibrium
To find: Reactions at points 1,2 and 3

Two balls having 20kg and 30 kg masses are moving towards each other with velocities of 10 m/s and 5 m/s respectively as shown in the figure. 
If after the impact ,the ball having 30 kg mass is moving with 6 m/s velocity to the right then determine the coefficient of restitution between the two balls.

Determine the position of the centroid of the plane lamina. Shaded portion is removed.

Explain the conditions for equilibrium of forces in space.

A 30 kg block is released from rest.If it slides down from a rough incline which is having co-efficient of friction 0.25.Determine the maximum compression of the spring.Take k=1000 N/m.

Find the support reactions at A and B for the beam loaded as shown in the given figure.

The V-X graph of a rectilinear moving particle is shown. Find the acceleration of the particle at 20m,80 m and 200 m

A bar 2 m long slides down the plane as shown.The end A slides on the horizontal floor with a velocity of 3 m/s.Determine the angular velocity of rod AB and the velocity of end B for the position shown.

Referring to the truss shown in the figure. Find :
(a) Reaction at D and C
(b)Zero force members.
(c)Forces in member FE and DC by method of section.
(d)Forces in other members by method of joints.

Determine the force P required to move the block A of 5000 N weight up the inclined plane, coefficient of friction between all contact surfaces is 0.25. Neglect the weight of the wedge and the wedge angle is 15 degrees.

Given : Weight of block A = 5000 N
μ_s=0.25
Wedge angle = 15^º

To find : Force P required to move block A up the inclined plane

Determine the tension in a cable BC shown in fig by virtual work method.

Given: F=3500 N
ϴ = 50o
Length of rod = 3.75 mm + 1.5 mm = 5.25 mm
To find : Tension in cable BC

A 500 N Crate kept on the top of a 15° sloping surface is pushed down the plane with an initial velocity of 20m/s. If μs = 0.5 and μk = 0.4, determine the distance travelled by the block and the time it will take as it comes to rest.  

Given: Weight of crate = 500 N 

Initial velocity(u) = 20 m/s

μs = 0.5

μk = 0.4

θ = 15° 

Final velocity (v) = 0 m/s
To find: Distance travelled by the block Time it will take before coming to rest 

Derive the equation of path of a projectile and hence show that equation of path of projectile is a parabolic curve. 

particle is moving in X-Y plane and it’s position is defined by`bar r=(3/2 t^2)bar l+(2/3 t^3) barJ "Find radius of curvature when t=2sec." `

A Force of 100 N acts at a point P(-2,3,5)m has its line of action passing through Q(10,3,4)m. Calculate moment of this force about origin (0,0,0).