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Theory of Machines Assignment

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Theory of Machines Assignment - Kafrelsheikh University, Egypt

Q1. a. For the linkage shown in the figures, determine the number of degrees of freedom of the mechanisms.

2409_figure.png

b. Assume that you have a set of links with the following lengths: 20 mm, 30 mm, 45 mm, 56 mm, and 83 mm. check if it is possible to design a four-bar linkage that can be driven with a continuous-rotation electric motor. Justify your answer with appropriate equations. If the design is possible, make a freehand sketch of the resulting linkage. Label the crank, frame, coupler, and rocker (follower).

Q2. If the angular velocity of link 2 is 5 rad/s CCW, use the analytical method to find the angular velocity and angular acceleration of link 3, link 4, link 5, and link 6.

2224_figure1.png

Q3. If the velocities of points A and B are as given in the rigid body shown. Find the point C in that link at which the velocity is zero.

962_figure2.png

Q4. The circular cam shown is driven at an angular velocity ω2 = 15 rad/s (CW) and α2 = 100 rad/s2 (CW). There is rolling contact between the cam and the roller, link 3. Draw the velocity diagram and find the angular velocity of the oscillating follower, link 4. Use velocity scale 1 cm : 3 in/s.

1257_figure5.png

Q5. Construct the cam profile using the given displacement diagram. The cam is to have a radial roller follower with 20 mm diameter. The cam will rotate clockwise, and the base circle diameter is 80 mm. determine the maximum pressure angle.

925_figure6.png

Q6. In the gear train shown, determine the angular velocity of the gear F.

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Q7. For the linkage shown in the figure, find the torque T12 required for the mechanism equilibrium if P = 100 lb in the direction shown. The linkage dimensions are as follows: AB = 6 in, EC = 12 in, AE = 8 in, BC = 18 in, ED = 5 in.

1353_figure8.png

Reference no: EM132404279

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