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

A particle falling under gravity travels 25 m in a particular second. Find the distance travelled by it in the next 3 seconds.

Given : Particle falls 25 m in a particular second
Sn=-25 m
u=0 m/s
To find : Distance travelled by it in next 3 seconds

Find the force ‘F’ to have motion of block A impeding up the plane. Take coefficient of friction for all the surfaces in contact as 0.2. Consider the wedge B as weightless. Refer Figure 11.

A particle moves in x-y plane with acceleration components a_x = -3m/s² and ay = -16t m/s². If its initial velocity is V₀ = 50m/s directed at 35⁰ to the x–axis, compute the radius of curvature of the path at t = 2 sec.

A force of magnitude of 20kN, acts at point A(3,4,5)m and has its line of action passing through B(5,-3,4)m. Calculate the moment of this force about a line passing through points S(2,-5,3) m and T(-3,4,6)m.

From (v-t) diagram find (1) Distance travelled in 10 second.
(2) Total distance travelled in 50 second.
(3) Retardation

Determine the speed at which the basket ball at A must be thrown at an angle 30o so that if makes it to the basket at B.
Also find at what speed it passes through the hoop.

Figure shows a collar B which moves upwards with constant velocity of 1.5 m/s.At the instant when θ=50o.Determine :
(i)The angular velocity of rod pinned at B and freely resting at A against 25o sloping ground.
(ii)The velocity of end A of the rod.

Find an expression for maximum range of a particle which is projected with an initial velocity of ‘u’ inclined at an angle of ‘β’ with the horizontal.

state and prove varigon’s theorem.

A machine part is subjected to forces as shown.Find the resultant of forces in magnitude and in direction.
Also locate the point where resultant cuts the centre line of bar AB.

Solution:
Given : A machine subjected to various forces
To find : Resultant of forces
             Point where the resultant force cuts the bar AB

What is meant by E-pollution?

Differentiate between conventional and non-conventional energy.

Explain need and importance of Environmental studies?

What are limitations of conventional sources of energy?

What are green buildings?

What are the advantages of green structure.

What are important powers and functions of Central Pollution Control Board.

Explain case study of kedarnath.

Explain the concept of green building.

Write a note on: Green Buildings – Concept and objectives.