BE Automobile Engineering छमाही १ (इंजीनियरिंग) - University of Mumbai Question Bank Solutions

In an R-L-C parallel circuit the current through the resistor, inductor(pure), and capacitor (pure) are 20A, 15A and 40A respectively. What is the current from the supply ?draw the phasor diagram.

The OC and SC test data are given below for a single phase, 5KVA, 200V/400V, 50Hz transformer

Determine the following :- 
1) Draw the equivalent circuit of the transformer referred to LV side.
2) At what load or KVA the transformer is to be operated for maximum efficiency?
3) Calculate the value of maximum efficiency.
4) Regulation of the transformer at full load 0.8power factor lagging.

Find current I_X using Superposition theorem

Prove that the average power taking by a pure capacitor fed with a sinusoidal ac supply in a circuit is zero.

State Norton’s theorem and draw the Norton’s equivalent circuit.

Derive the formula for resonant frequency of the circuit with a pure capacitor in parallel with a coil having resistance and inductance. Find the expression for dynamic resistance of this parallel resonant circuit.

Determine the value of R for maximum power transfer and find the value of maximum transfer.

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

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

Explain the conditions for equilibrium of forces in space.

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

In the rocket arm shown in the figure the moment of ‘F’ about ‘O’ balances that P=250 N.Find F. 

Find the centroid of the shaded portion of the plate shown in the figure.

A 50 N collar slides without friction along a smooth and which is kept inclined at 60o to the horizontal.
The spring attached to the collar and the support C.The spring is unstretched when the roller is at A(AC is horizontal).
Determine the value of spring constant k given that the collar has a velocity of 2.5 m/s when it has moved 0.5 m along the rod as shown in the figure.

Find the force F⁴ , so as to give the resultant of the force as shown in the figure given below. 

Given : Forces and their resultant
To find : Force F⁴

A particle starts from rest from origin and it’s acceleration is given by a = `k/(x+4)^2     m⁄s^2`.Knowing that v = 4 m/s when x = 8m,find :
(1)Value of k
(2)Position when v = 4.5 m/s

Given :  Particle starts from rest
a = `k/(x+4)^2    m⁄s^2`
v = 4m/s at x = 8m
To find : Value of k and position when v= 4.5m/s

Two cylinders 1 and 2 are connected by a rigid bar of negligible weight hinged to each cylinder and left to rest in equilibrium in the position shown under the application of force P applied at the center of cylinder 2.
Determine the magnitude of force P.If the weights of the cylinders 1 and 2 are 100N and 50 N respectively.

What is a zero force member in a truss? With examples state the conditions for a zero force member.