Velocity and Acceleration in Mechanism
Q. No. Questions
1 Define following terms
i) Linear velocity
ii) Angular Velocity
iii) Linear acceleration
iv) Relative acceleration
v) angular acceleration
2 State the inter-relation between linear velocity and angular velocity.
3 State the necessity of drawing velocity & acceleration diagram of a mechanism.
4 Define the “Rubbing Velocity at a pin joint”. What will be the rubbing velocity at pin joint, when the two links move in the same and opposite directions ?
In a four bar chain ABCD, AD is fixed and is 300 mm long. The crank AB is 80 mm long and rotates at 120 RPM clockwise, while the link CD which is 180 mm
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long oscillate about D. Link BC & AD are of equal length. Find angular velocity of link CD when angle BAD = 50°.
In the engine mechanism, crank OB = 50 mm, length of connecting rod = 225 mm. The centre of gravity of the rod is at ‘G’ which is 75 mm from ‘B’. The speed
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is 200 rpm, and the crank OB is rotated at 45° from ‘OA’. Find out the velocity of point ‘G’ and angular velocity of AB by relative velocity method.
A 4-bar mechanism has following dimensions: DA= 300 mm, CB = AB = 360 mm, DC = 600 mm. The link ‘DC’ is fixed. The angle ADC
7 is 60°. The driving link ‘DA’ rotates at a speed of 100 rpm clockwise and constant driving torque is 50 N.M. Calculate the Velocity of point ‘B’ and angular
velocity of driven link ‘CB’.
The crank of a slider crank mechanism rotates clockwise at a constant speed of 300 rpm. The crank is 150 mm and the connecting rod is 600 mm long. Determine
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linear velocity and acceleration of the midpoint of the connecting rod at a crank angle of 45° from inner dead centre position. Use graphical method.
In a slider crank mechanism, the length of crank and connecting rod are 200 mm and 800 mm respectively. The crank position is at the 60° from I.D.C. The crank
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rotates at a speed of 500 rpm (clockwise). Using analytical method, determine the velocity and acceleration of slider.
In a slider crank mechanism, the crank rotates uniformly, at 800 rpm in clockwise. The length of connecting rod are 600 mm and crank of 300 mm. Find the
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velocity and acceleration of the connecting rod, if the crank has turned through 45° from IDC. (Note : use analytical method)
In reciprocating engine, crank is 200 mm., long & connecting rod is 800 mm. long. The crank rotates at 150 rpm. Find velocity & acceleration of piston & angular
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velocity & angular acceleration of connecting rod when crank makes an angle of 30° to IDC use analytical method.
In reciprocating engine the crank is 250 mm long and connecting rod is 1000 mm long. The crank rotates at 150 rpm. Find velocity and acceleration of piston.
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And angular velocity and angular acceleration of connecting rod when the crank makes an angle of 30° to IDC. Use analytical method.
13 Explain Klein’s construction to determine velocity & acceleration of different links in single slider crank mechanism.
In a slider crank mechanism, crank is 200 mm long and connecting rod length is 700 mm. The angular velocity of crank is 25 radians per second. Find the
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velocity of piston and angular velocity of connecting rod, when crank has turned through 45° from IDC in clockwise direction. Use Klein’s construction method.
In a slider and crank mechanism the length of crank OB and connecting rod AB are 120 mm and 600 mm respectively. The crank rotates at 500 rpm in clockwise.
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Find the velocity and the acceleration by ‘Klein’s Construction’ method only. Crank makes an angle of 50° to inner dead centre.
