Question

The arm is rotating at a rate of @ - 4 rad/s when 2 = 3 rad/sand = 180°. It is confined to move along the slotted at Motion accurs in the horizontal plane Figure 1) Part A Determine the force it must exert on the 0.5 kg smooth cylinder. Express your answer to three significant figures and include the appropriate unite Suomen edo ele keyboard shortcuts help cate F 0.01617 Submit Previous Antwort Raquest Answer X Incorrect; Try Again: 4 attempts remaining Provide Feedback Figure 1 of 1 6 - 4 rad, 0 - 3 rad C 8-180

Answer 1

o=4 rad's ö = 3 {ad/s2 o=180 =ł r=% m=0.5kg >e= =0.6366 mm T r=2% Differentiating Wor. to time (t) - 2 (4) (JT)? -0.8106 m/s Differentiating į w.rit. to time A = (-2**) 2(-203 6²4 5 6 03 (202-06) = = 2 (2x4²_T(37) T3 = 1.456 m/s2

Now, radial component of acco q=ë - ro² = 1.456 -0.6366 (4)2 qq = -8.729 m/s2 - Angular component aoar o + 2 o i =0.6366 (3)+2 (0.8105)(4) =-4.57 m/s Angle between the radial & tangent line, Zand 2lo r tand = -r ..0 = tant (-J) =-72.3 u

Radial Forces, E Fr=mar -Nsind=0.5 ari 2. N=-0.5% (-8-72) sin72.34 4.576 N → Force in tangential axis ze = mo F-Ncosa=mao F = 4.576 COS 72.34 +0.5(-4.57) F=-0.897 N Ans

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