Unlike the common V6 engine, Subaru engines contain pistons that are horizontally opposed (see Wikipedia for more info). Luckily for us, this also makes for an interesting dynamics problem! At the instant shown, the crank arm's angular velocity is waB = 2,000 rpm (rotating clockwise) and the angle 0 40° with respect to the horizontal. Length of bar AB is ri = 3 in. and the length of bar BD is r2 = 8 in. a) Clearly define coordinate systems for each link and write transformation arrays for each. b) Compute the velocity of point B in ft/s. Express your answer in rectangular coordinates. [Ans. to Check: 33.66 i – 40.11 j ft/sec] c) Determine the magnitude of the speed of the piston P in ft/s. Note: all answers should be positive since we only want to know the magnitude of the speed, not the direction (the piston can only move in the horizontal direction). [Ans. to Check: 43.6 ft/s]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Unlike the common V6 engine, Subaru engines contain pistons that are horizontally opposed
(see Wikipedia for more info). Luckily for us, this also makes for an interesting dynamics
problem!
At the instant shown, the crank arm's angular velocity is waB = 2,000 rpm (rotating clockwise)
and the angle 0 = 40° with respect to the horizontal. Length of bar AB is r1 = 3 in. and the
length of bar BD is r2 = 8 in.
a) Clearly define coordinate systems for each link and write transformation arrays for each.
b) Compute the velocity of point B in ft/s. Express your answer in rectangular coordinates.
[Ans. to Check: 33.66 i– 40.11 j ft/sec]
c) Determine the magnitude of the speed of the piston P in ft/s. Note: all answers should be
positive since we only want to know the magnitude of the speed, not the direction (the
piston can only move in the horizontal direction). [Ans. to Check: 43.6 ft/s]
r2
10
B
Transcribed Image Text:Unlike the common V6 engine, Subaru engines contain pistons that are horizontally opposed (see Wikipedia for more info). Luckily for us, this also makes for an interesting dynamics problem! At the instant shown, the crank arm's angular velocity is waB = 2,000 rpm (rotating clockwise) and the angle 0 = 40° with respect to the horizontal. Length of bar AB is r1 = 3 in. and the length of bar BD is r2 = 8 in. a) Clearly define coordinate systems for each link and write transformation arrays for each. b) Compute the velocity of point B in ft/s. Express your answer in rectangular coordinates. [Ans. to Check: 33.66 i– 40.11 j ft/sec] c) Determine the magnitude of the speed of the piston P in ft/s. Note: all answers should be positive since we only want to know the magnitude of the speed, not the direction (the piston can only move in the horizontal direction). [Ans. to Check: 43.6 ft/s] r2 10 B
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