The following data refers to a vehicle:

Mass of the vehicle=1600kg
Number of wheels =4
Moment of inertia of each wheel=3.2kgm2
Diameter of each wheel=650mm
Mass of engine rotating parts=60kg
Radius of gyration of engine rotating parts=90mm
Transmission efficiency=85%
Gear ration from engine to back axle=6

The resistance to motion is given by (180 + 0.84V2) and the engine torque available is given by (90 – 0.048V2), where V is the linear speed of the vehicle in m/s.

Determine:

The power of the vehicle when velocity is 18m/s.(11 marks)
The time taken for the vehicle to increase speed from 18m/s to 24 m/s.(5 marks)
The distance covered during the acceleration(4 marks)

a) i) State TWO conditions necessary for complete dynamic balance for a shaft carrying several masses.
ii) State any FOUR effects of unbalanced forces in a machine having several rotating parts.(4 marks)

b) Four masses A,B,C and D are carried on a shaft with their centers of mass 150mm, 200mm, 700mm and 600mm respectively. The masses are such that A=9kg, B=18kg, C=21kg and D=14kg. The distance of the planes of rotation measured from mass A are anticlockwise from A are B=3m, C=5m and D=7m respectively. The angular position of B,C and D measured anticlockwise from A, are 750, 1600 and 2400 respectively. Two balance masses are fitted as follows: one, midway between A and B, whose centre of mass from the shaft axis is 110mm; and the other is fitted mid-way between C and D, whose centre of mass from the shaft axis is 90mm.

Determine the values of the balance masses and their angular positions with respect to A. show the position of the masses on an end view. (16marks)

 

 

 

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