Question

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Student Name: ID: Enrolment No. Section: 51 A flat-faced radial follower is driven through a total displacement of 38 mm. The follower moves upward 25 mm with constant acceleration for 120° and the remaining 13 mm with constant deceleration for 60° of cam rotation. The follower retums with simple harmonic motion in 90° and dwells for the remainder of the revolution of the cam. (a) For each type of motion, write an equation expressing S V A J as a function cam angle 0 and draw S V AJ diagrams. (b) Calculate the minimum radius C and the maximum length of contact for each type of motion. (c) Specify the minimum radius of the cam and the length of the follower face.

Answer 1

Solu bion Given that data The -follower moves upward 25mm with (orstant accelerahon fer 120 13 mm with Constant de alleleration -for 60 of Cam Totahion Return staoKe with Simpe hogmonic mobion t) in 90° anal dwetlfor emaîn der dis plaament = 36mm total (120+60+96) 360-270 tor Uniform accelerahiou ahd uniform decekrai a uniform aclelerahon (orj decederation =S dísplatment ofF followes dv d t v at tG V ds dt

S atv ヒ=0 at Vo at S O, 2=0 う SGEV Given 4+14 hi25mm h2 13mm h a 2S tv ヒ= e 2wh 2h aa 2uh2 da dヒ JerK allelerahon or) de ce lerahon Const cam Tota hon angle-for Maximum follower duplatmeut C TT

TT hese ㅋ for e - Cog wt dt d는 h Vmax 2. 는 (품이 cn(폭이 a dv dt Cos 2 (" ) h amax 2 TTe da d는 TTo Sin Jeak 3. TTuo Jesk)nax h

Displacement diagom 2 2 / O 4 3 7 6 3 2 D (20 velocty diagam

accaleration diagsam JuK diagam