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A motor vehicle of mass 2000 kg travels round a curved path of radius 55 m. the


coefficient of friction between the tyres and the road surface is 0.75. The track of the


vehicle is 1.5 m and the centre of gravity is 70 cm above ground level. Calculate the


maximum speed at which the vehicle can travel round the curve:


i. without skidding outwards


ii. without overturning


iii. if the angle of tilt is 300 without overturning

The diameter of a brake drum is 30 cm. the pivot for the brake shoe and the point of


application of the force actuating the shoe are 120 mm each from the axis of rotation.


Assume that the pressure distribution over the brake lining is equal to a single force


acting radially and the coefficient of friction is 0.25. Calculate the braking torque


exerted by an operating force of 900 N on:


i. The leading shoe


ii. The trailing shoe

A vehicle travelling at 70 km/hr is accelerating up a hill with a gradient of 1 to 20. If


the mass of the car is 1500 kg, the frontal area is 1.95 m2


, rolling resistance of 240 N


and the drag coefficient of the body if 0.035. At this instant, the engine is developing


56.80 KW at 4000 rev/min and the transmission efficiency is 80%. If the rear axle


ratio is 5.2 to 1 and the rolling radius is 35 cm. Calculate the acceleration of the


vehicle. (Take TR = RG + RR + RA)

There are different configurations of hybrid electric vehicles (HEVs). On of its configuration is power split hybrid electric vehicle. One of its applications can be found out in Toyota Prius that utilized Hybrid Synergy Drive THS-II. A key component of power split hybrid electric vehicle is planetary gear which is responsible for combining Internal Combustion Engine (ICE), Electric Motor and Generator.


You are required to describe its kinematic. Also solve for its kinetics if the following information are provided.

The desired torque of vehicle = 100+last two digits of your registration [Nm] Mass of vehicle = 1504 kg

Final gear ratio from wheel to the ring = 3.93 Torques of Electric motor = 200 [Nm] Torques of ICE = 90 [Nm]

 

speed of Electric motor = 500 [rad/s] speed of ICE = 400 [rad/s]

the moment of inertia of engine, motor, generator, and vehicle are 1.746 [kgm2], 0.0226 [kgm2], 0.0226 [kgm2], and 3.3807 [kgm2] respectively.

Find toque and speed of generator.


Draw a backward Vernier scale to read maximum up to 500 m, such that a line of


24 cm represents a length of 600 m. The least count of the Vernier scale should be 50


cm. Show lengths of 355.5 m and 166.5 m on it.

Draw a backward Vernier scale to read maximum up to 500 m, such that a line of



24 cm represents a length of 600 m. The least count of the Vernier scale should be 50



cm. Show lengths of 355.5 m and 166.5 m on it.

Steam at a temperature of 250oC has a specific volume of 0.15436 m3/kg . What are the pressure , specific internal energy, enthalpy, and entropy?

A hollow shaft 20 mm thick transmits 300 kW power at 200 rpm. Calculate the external diameter of the shaft if the shear strain due to torsion is not to exceed 0.00086. Take modulus of rigidity = 0.8 x 105 N/mm2

Find the equation of the clastic curve and its maximum deflection for the simply supported beam of length 27, having uniformly distributed load W per unit length.


Draw the profile of the cam when the axis of the follower passes through the axis of the cam shaft,

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