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and the angles 02 and 03 as per the convention above. (b) Verify by geometry that at one these extreme positions the angle 02 = 03-π and at the other 02 = 03. (c) Denoting the corresponding crank angles by 02, and 022 we note that 021 031 - = 7 and 022 = 02. Show that 02₁ = arcsin (6+) and 022 = arcsin (ba) +π (d) Assuming that the crank is rotated at a constant angular velocity, show that the time ratio for a crank-slider can be defined as the ratio TR = a/(2π- a), where a = 022-02. Derive the time-ratio in terms of a, b, and c. (tip: use the definition of time ratio definition from the quick return synthesis). (e) Use the relation above to find time-ratio for offsets c = 0, 20, 40, 60, 80 with a= 40, b = 120

and the angles 02 and 03 as per the convention above. (b) Verify by geometry that at one these extreme positions the angle 02 = 03-π and at the other 02 = 03. (c) Denoting the corresponding crank angles by 02, and 022 we note that 021 031 - = 7 and 022 = 02. Show that 02₁ = arcsin (6+) and 022 = arcsin (ba) +π (d) Assuming that the crank is rotated at a constant angular velocity, show that the time ratio for a crank-slider can be defined as the ratio TR = a/(2π- a), where a = 022-02. Derive the time-ratio in terms of a, b, and c. (tip: use the definition of time ratio definition from the quick return synthesis). (e) Use the relation above to find time-ratio for offsets c = 0, 20, 40, 60, 80 with a= 40, b = 120

Elements Of Electromagnetics
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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02. 03 R2, a A 02 R3, b B R4, C R1, d 04
Transcribed Image Text:02. 03 R2, a A 02 R3, b B R4, C R1, d 04
(a) Draw the crank slider linkage at its extreme positions marking the link lengths and the angles 02 and 03 as per the convention above. - (b) Verify by geometry that at one these extreme positions the angle 02 = 03 – π and at the other 02 = 03. (c) Denoting the corresponding crank angles by 02, and 022 we note that == 1-7 and 022 = 032. Show that ₁₁ = arcsin (6+) and 022 = arcsin()+π 022032. 0 (d) Assuming that the crank is rotated at a constant angular velocity, show that the time ratio for a crank-slider can be defined as the ratio TR = a/(2π - a), where a = 0220 Derive the time-ratio in terms of a, b, and c. (tip: use the definition of time ratio definition from the quick return synthesis). - = (e) Use the relation above to find time-ratio for offsets c = 0, 20, 40, 60, 80 with a = 40, b = 120
Transcribed Image Text:(a) Draw the crank slider linkage at its extreme positions marking the link lengths and the angles 02 and 03 as per the convention above. - (b) Verify by geometry that at one these extreme positions the angle 02 = 03 – π and at the other 02 = 03. (c) Denoting the corresponding crank angles by 02, and 022 we note that == 1-7 and 022 = 032. Show that ₁₁ = arcsin (6+) and 022 = arcsin()+π 022032. 0 (d) Assuming that the crank is rotated at a constant angular velocity, show that the time ratio for a crank-slider can be defined as the ratio TR = a/(2π - a), where a = 0220 Derive the time-ratio in terms of a, b, and c. (tip: use the definition of time ratio definition from the quick return synthesis). - = (e) Use the relation above to find time-ratio for offsets c = 0, 20, 40, 60, 80 with a = 40, b = 120
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