1. Fig. 1 Shows an aerofoil cutting mechanism which has a laser cutting device located at point E - the path traced out by this point corresponds to the required aerofoil shape. The laser device can be considered as a point mass of 20kg at E. The other links can be assumed massless and you can ignore forces due to gravity in your analysis. The crank CD is driven at a constant angular velocity, wo, If = 10 rad/s show that in the position shown the x and y components of acceleration at point E are respectively: fex = 178.4 m/s² (to the right); fey = 30.6 m/s² (upwards): (a) (i) Hence, determine the force acting on link EBC at B due to link AB (FB) (ii) Show by means of clearance diagrams the direction of the forces at B and A (b) (c) (d) Determine the X and Y components of the force acting on link EBC at C due to the crank (Fcx, Fcy) Determine the torque, T, input or output due to the acceleration of the laser device at this instant. Determine the resultant force acting on the bearing at D, FD, and show by means of a clearance diagram the direction of the force. B 70.3° √52° wo Figure 1. Aerofoil Cutting Mechanism CD = 0.5m BC = 1m AB= 1.35m AD = 1.2m EB = 2.5m me = 20kg 105°

1. Fig. 1 Shows an aerofoil cutting mechanism which has a laser cutting device located at point E - the path traced out by this point corresponds to the required aerofoil shape. The laser device can be considered as a point mass of 20kg at E. The other links can be assumed massless and you can ignore forces due to gravity in your analysis. The crank CD is driven at a constant angular velocity, wo, If = 10 rad/s show that in the position shown the x and y components of acceleration at point E are respectively: fex = 178.4 m/s² (to the right); fey = 30.6 m/s² (upwards): (a) (i) Hence, determine the force acting on link EBC at B due to link AB (FB) (ii) Show by means of clearance diagrams the direction of the forces at B and A (b) (c) (d) Determine the X and Y components of the force acting on link EBC at C due to the crank (Fcx, Fcy) Determine the torque, T, input or output due to the acceleration of the laser device at this instant. Determine the resultant force acting on the bearing at D, FD, and show by means of a clearance diagram the direction of the force. B 70.3° √52° wo Figure 1. Aerofoil Cutting Mechanism CD = 0.5m BC = 1m AB= 1.35m AD = 1.2m EB = 2.5m me = 20kg 105°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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