Theory of Machines Kinematics and Dynamics 3rd. Edition by Sadhu Singh | 9788131760697 | 8131760693 | Holooly

Theory of Machines Kinematics and Dynamics [EXP-36662]

616 SOLVED PROBLEMS

Question: 15.33

(a) Give a list of the common applications of planetary gear trains. Describe the working of the differential mechanism of a motor car. (b) In the planetary gear train shown in Fig.15.37, gear 1 has 50 teeth and gear 3 has 90 teeth. Determine the number of equally spaced planets that can be used

Verified Answer:

z_{3}=z_{1}+2 z_{2}

.

90=5...

Question: 14.14

A 0.2-module, 20° pinion of 42 teeth drives a gear of 90 teeth. Calculate the contact ratio. Addendum for pinion and gear is equal to one module.

Verified Answer:

Given:

m=0.2 mm , a=20^{\circ}, z_{1}=42,...

Question: 10.16

A 17 mm diameter hole is to be punched in a steel plate 19 mm thick at the rate of 20 holes per minute. The actual punching takes place in 1/5th the interval between punches. The driving motor runs at 1200 rpm and is geared to a countershaft, which runs at 160 rpm and upon which the flywheel is

Verified Answer:

\text { Time taken for punching a hole }=\...

Question: 17.9

A 25 kg mass is resting on a spring of 5 kN/m stiffness and a dashpot of 150 N.s/m damping coefficient in parallel. If a velocity of 0.1 m/s is applied to the mass at the rest position, what will be its displacement from the equilibrium position at the end of first second?

Verified Answer:

\text { Given : } m =25 kg , k =5 kN / M ,...

Question: 12.18

A 4 m long shaft carries three pulleys, two at its ends and third at the midpoint. The two end pulleys have mass of 80 and 40 kg and their centre of gravity are 3 and 5 mm, respectively, from the axis of the shaft. The middle pulley mass is 50 kg and its center of gravity is 8 mm from the shaft axis

Verified Answer:

\text { For static balance, } M_{ E }=0 \t...

Question: 16.13

A 4-bar mechanism is required such that the input and out angles are coordinated as given below: Synthesize the four-bar mechanism.

Verified Answer:

The Freudenstein’s equation for displacement of a ...

Question: 14.16

A 4-module, 20° pinion with 30 teeth drives a rack. Calculate the length of action and the contact ratio.

Verified Answer:

Given:

m=4 mm , \alpha=20^{\circ}, z_{1}=...

Question: 10.43

A 5 kW induction motor running at 750 rpm operates a rivetting machine. A flywheel of mass 80 kg and radius of gyration 0.45 m is fitted to it. Each rivetting takes 1 s and requires 10 kW. Determine (a) number of rivets closed per hour and (b) fall in speed of the flywheel after the riveting

Verified Answer:

\text { Mean speed, } \omega_{m}=2 \pi \ti...

Question: 14.37

A 6.35 mm module, straight bevel pinion of 14 teeth drives a gear of 20 teeth. The shaft angle is 90°. Calculate the addendum and dedendum, circular tooth thickness for each gear, and the pitch and base radii of the equivalent spur gear.

Verified Answer:

Given

m=6.35 mm , z_{1}=14, z_{2}=20, \Si...

Question: 17.16

A 60 kg compressor rotor is mounted on a shaft of stiffness 15 MN/m. Determine the critical speed of the rotor assuming the bearings to be rigid. If the rotor has an eccentricity of 2 mm and its operating speed is 6500 rpm, determine the unbalance response. The damping factor in the system can be

Verified Answer:

\text { Given: } m=60 kg , k=15 MN / m , e...

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