PROGRESSIVE EDUCATION SOCIETY’S

MODERN COLLEGE OF ENGINEERING

PUNE – 411005

DEPARTMENT OF MECHANICAL ENGINEERING

Class: SE (MECHANICAL) Sem II: 2018-19

Subject: Theory of Machine I

Unit IV: Kinematic Analysis of Mechanisms: Analytical Method

Assignment No. 4

Marks:20

Q.1.

In an internal combustion engine, the crank radius is 100 mm and the connecting rod length 500 mm. The crank rotates at 191 rpm in anti-clockwise direction and has an angular acceleration of 125 rad/sec2. Use analytical, Vector algebra and Complex algebra methods. Also compare the methods & suggest best method for analysis. Crank make’s angle of 500.

CO4

M=20

Unit VI: Velocity and Acceleration Analysis of Mechanisms: Graphical Methods-II

Assignment No. 6

Marks:40

Q.1.

In the IC engine mechanism the crank radius is 300 mm and length of connecting rod is 1050 mm. The crank is rotating with uniform angular velocity of 60 rad/s clockwise. Determine when crank at 120º from IDC by using Kliens construction.

(i) Acceleration of piston;

(ii) Angular acceleration of connecting rod.

The line of stroke of slider passes through fixed point.

CO5

M=10

Q.2.

In an I C Engine mechanism, the crank is 200 mm long and connecting rod is 800 mm long. Find by using Klein’s construction, the velocity and acceleration of piston and angular velocity, angular acceleration of connecting rod when the crank is turned through 60° from inner dead centre. The angular velocity of crank is 20 rad / sec and is increasing at the rate of 60 rad /sec2.

CO5

M=10

Q.3.

In the mechanism shown in the fig., link AB rotates at 200 rpm uniformly in clockwise direction. The various dimensions are AB =75 mm and PQ = 375 mm. Find velocity and acceleration of Q, using relative velocity & acceleration method.

CO5

M=10

Q.4.

The Kinematic diagram of one of the cylinders of a rotary engine is shown in fig. The crank OA which is vertical and fixed is 50 mm long. The length of the connecting rod is 125 mm. The line of stroke OB is inclined at 500 to the vertical. The cylinders are rotating at a uniform speed of 300 rpm in a clockwise direction, about the fixed Centre O.

Determine :

(a.) Acceleration of the piston inside the cylinder

(b.) Angular Acceleration of the connecting rod.

CO5

M=10

Theory Of Machine I