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The cranks of a four-cylinder vertical engine are 240 mm long. The reciprocating masses of

the first, second and fourth cranks are 120 kg, 140 kg and 120 kg and the planes of rotation

are 700 mm, 350 mm, and 350 mm from the plane of rotation of third crank. Determine the

mass of the reciprocating parts of the third cylinder


The following data relate to a four-link mechanism:

Link

AB

BC

CD

AD

Length

60mm

200mm

100mm

140mm

Mass

MOI about an axis through centre of mass

80 kg. mm 1600 kg. mm

kg. mm

AD is the fixed link. The centres of mass for the links BC and CD lie at their mid-point whereas the centre of mass for link AB lies at A. Find the drive torque on the link AB at the instant when it rotates at an angular velocity of 47.5 rad s counter clockwise and angle DAI is 135 degree. Neglect gravity effects.

The number of teeth on the gear and pinion of two spur gears in mesh are 40 and 24 respectively. Both the gears have a module of 8 mm and pressure angle of 20 degree. If the pinion rotates at 500 rpm, what will be the sliding velocity at the moment the tip of the tooth of the pinion has contact with gear flank? Take addendum equal to one module. Also, find the maximum velocity of sliding.


The number of teeth on the gear and pinion of two spur gears in mesh are 40 and 24 

respectively. Both the gears have a module of 8 mm and pressure angle of 20 degree. If the 

pinion rotates at 500 rpm, what will be the sliding velocity at the moment the tip of the 

tooth of the pinion has contact with gear flank? Take addendum equal to one module. Also, 

find the maximum velocity of sliding.


A wheel of a locomotive, travelling on a level track at 120 km / h, falls in a spot hole 10 mm deep and rises again in a total time of 0.8 seconds. The displacement of the wheel takes place with simple harmonic motion. The wheel has a diameter of 3 m and the distance between the wheel centres is 1.75 m. The wheel pair with axle has a moment of inertia of 500 kg-m 2 . Determine the magnitude and the effect of gyro-couple produced in this case.


In a slider crank mechanism, the length of the crank and connecting rod are 100 mm and 400 mm respectively. The crank rotates uniformly at 600 r.p.m. clockwise. When the crank has turned through 45° from the inner dead centre, find, by analytical method : a. Velocity and acceleration of the slider. b. Angular velocity and angular acceleration of the connecting rod. Check your result by Klein’s or Bennett’s construction. 



A temperature scale of certain thermometer is given by the relation

t = a ln p + b

where a and b are constants and p is the thermometric property of the fluid in the thermometer.

If at the ice point and steam point the thermometric properties are found to be 1.5 and 7.5

respectively what will be the temperature corresponding to the thermometric property of 3.5 on

Celsius scale.



Water drips from a tap at uniform rate onto the floor which is 1.5m below. The first drop strikes the floor at the instant the fourth drop is on the verge of falling from the tap. What would be the location of the different drops when the first drop hits the floor? D1 is on the floor and D4 is at the tap


Determine ho and Side flow rate and the power loss using the following

given parameters: Temperature = 62 C, N = 40 rev/s, W = 2 kN (bearing

load), r = 20 mm, c = 0.04mm, and l = 3.2 cm


Draw Freebody force diagram of a helical gear teeth. Explain how

Trumpler’s design criteria is used in designing Bearing. Why is it helpful?


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