Date: December 2017

state and prove varigon’s theorem.

Chapter: [1] System of Coplanar Forces

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

Chapter: [1] System of Coplanar Forces

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

Chapter: [9] Kinematics of Particle

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.

Chapter: [7] Friction

The position vector of a particle which moves in the X-Y plane is given by 𝒓̅ = (3t^{3}-4t^{2})𝒊̅ + (0.5t^{4})𝒋̅

Chapter: [9] Kinematics of Particle

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

Chapter: [1] System of Coplanar Forces

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

Chapter: [3] Equilibrium of System of Coplanar Forces

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.

Chapter: [9] Kinematics of Particle

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

Chapter: [2] Center of Gravity and Centroid for Plane Laminas

Explain the conditions for equilibrium of forces in space.

Chapter: [3] Equilibrium of System of Coplanar Forces

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.

Chapter: [7] Friction

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

Chapter: [3] Equilibrium of System of Coplanar Forces

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

Chapter: [9] Kinematics of Particle

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.

Chapter: [9] Kinematics of Particle

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.

Chapter: [5] Analysis of Plane Trusses

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

Chapter: [3] Equilibrium of System of Coplanar Forces

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

Chapter: [8] Principle of Virtual Work

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

Chapter: [9] Kinematics of Particle

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

Chapter: [9] Kinematics of Particle

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." `

Chapter: [9] Kinematics of Particle

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).

Chapter: [9] Kinematics of Particle

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