Solve any four of the following:-

1(a)
Resolve 15 kN force acting at 'A' into two parallel components at B & C.

5 M

1(b)
Derive an expression for centrifugal tension in flat belt drive.

5 M

1(c)
Find 'P' required to accelerate the block shown in figure below at 2.5m/sec

^{2}. Take μ=0.3
5 M

1(d)
A particle moves in X-Y plane and its position is given by

r=(3t)i+(4t-3t

where r is the position vector of the particle measured at time 't' seconds.Find the radius of curvature of its path and normal and tangent components of acceleration when it crosses X-axis again.

r=(3t)i+(4t-3t

^{2})jwhere r is the position vector of the particle measured at time 't' seconds.Find the radius of curvature of its path and normal and tangent components of acceleration when it crosses X-axis again.

5 M

1(e)
Write short notes on the following:

(i) Classification of truss.

(ii) Assumptions made in the analysis of perfect truss.

(i) Classification of truss.

(ii) Assumptions made in the analysis of perfect truss.

5 M

2(a)
Find the resultant of coplanar force system given below and locate the same on AB with consideration of applied moment of 4800 N-mm.

10 M

2(b)
If the link CD is rotating at 5 rad/sec anticlockwise, determine the angular velocity of link AB at the instant shown.

10 M

3(a)
Locate the centroid of the shaded area as shown in figure. Also determine area moment of inertia of shaded area about its centroidal X-axis.

10 M

3(b)
Figure shows acceleration-time diagram for rectilinear motion. Construct velocity-time and displacement-time diagrams for the motion assuming that the motions starts with initial velocity of 5 m/sec from starting point.

10 M

4(a)
What should be the value of θ so that the motion of block 'A' impend down the plane? The coefficient of friction μ for all the surfaces is 1/3.

10 M

4(b)
Two smooth spheres A and B having a mass of 2 kg and 4 kg respectively collide with initial velocities as shown in figure. If the co-efficient of restitution for the spheres is e=0.8, determine the velocities of each sphere after collision and their directions.

10 M

5(a)
Find analytically the support reaction at B and load P for the beam as shown in figure if reaction at support 'A' is zero.

10 M

5(b)
Determine the weight 'W' required to bring the system in the following figure to stop in 5 second if at the instant as shown, 500 N block is moving down at 3 m/sec. The pulley is frictionless.

10 M

6(a)
A truss is loaded and supported as shown, find-

(i) Reactions at A & F (

(ii) Forces in all members by method of joint. (

(iii) Verify the forces in members CE, CD and BD by method of section. (

(i) Reactions at A & F (

*3 marks*)(ii) Forces in all members by method of joint. (

*9 marks*)(iii) Verify the forces in members CE, CD and BD by method of section. (

*3 marks*)
15 M

6(b)
Find the power transmitted by a belt running over a pulley of 600 mm diameter at 200 rpm. The coefficient of friction between the pulley and belt is 0.25 and angle of lap is 160

^{0}and maximum tension in belt is 2.5 kN. Neglect the centrifugal tension.
5 M

7(a)
Determine the reaction at point of contact 1, 2 and 3. Assume smooth surfaces.

10 M

7(b)
Explain the following terms in short:

(i) Radius of Gyration

(ii) Work-Energy principle

(iii) Types of impact

(iv) Theorem of parallel lines

(v) Angle of repose

(i) Radius of Gyration

(ii) Work-Energy principle

(iii) Types of impact

(iv) Theorem of parallel lines

(v) Angle of repose

10 M

More question papers from Engineering Mechanics