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MECH 343 Midterm complete study guide Concordia University
Question 1 (Solution) For the system shown in the next page: a) Determine the degree of mobility. b) Considering the given velocity for point A, using the Component Method, find the velocities of points B, C, D, E and F. Complete the following table: Degree of mobility 3 ( 5 ) โ 2 ( 6 ) โ ( 1 ) = 2 Velocity of point A 33.32 mm/s Velocity of point B 36.65 mm/s Velocity of point C 81.53 mm/s Velocity of point D 25.53 mm/s Velocity of point E 27.46 mm/s Velocity of point F 27.00 mm/s
O 2 M 25 mm, O 4 A 55 mm, MP 45 mm, PA 15 mm, O 2 P 51.4782 mm, O 2 A 65 mm
VA 2 2 O 2 A (1)(65) 65 mm / s VA 4 25 mm / s VA 4 VA 4 VA 2 โ (^) V 60 mm / s A 4 A (^2) A 2 V O A โ
VA 4 25
0.4545 rad / s (CW) A 4 4 4 4 O 4 A 55 VP 2 2 O 2 P (1) (51.4782) 51.4782 mm / s Rolling โ VP3 VP 2 51.4782 mm / s ( O 2 P) Hing โ VA3 VA 4 25 mm / s ( O 4 A)
... VP VP VA โ VP 45 ( AP) 3 3 3 3 A 3 A 3 VP 3 V AP โ
A 3 45
3 rad / s (CW) P 3 3 3 A AP^15 3
... .n .t .n .t .c .n .t aA 4 a (^) A 4 aA 2 โ aA 4 aA 4 a (^) A 4 a (^) A 4 a (^) A 4 aA 2 aA 2 A 2 A 2 A 2 A 2 V 2 25 2 a n A 11.3636 mm / s 2 A 4 O 4 A 55 V 2 (65) 2 a n A 65 mm / s 2 A 2 O A (^65) t 2 2 aA^4 25 mm^ /^ s a t O A (1) (65) 65 mm / s 2 โ t 2 A 2 2 2 a^ A^4 23.6364^ mm^ /^ s 2 VA 4 60 2 A^2 a n A 60 mm / s 2 A 4 A 2 MA^60 a c 2 V 2(1) (60) 120 mm / s 2 A 4 2 A 4 A 2 A 2 a t 25 a t O A โ A 0.4545 rad / s 2 A 4 4 4 4 (CW) O 4 A 55
