Question

32 The uniform 100-kg crate is supported by the thin homogeneous 20-kg platform BF and light support links whose motion is controlled by the hydraulic cylinder CD. If the cylinder is extending at a con- stant rate of 150 mm/s when e magnitudes of the forces supported by the pins at B and F. Additionally, determine the total friction force acting on the crate. The crate is centered on the 1.8-m platform, and friction is sufficient to keep the crate motionless relative to the platform. (Hint: Be careful with the location of the resultant normal force beneath the crate.) 75, determine the 1.2 m 0.6 m Platform F BIE 45 C 0.9 m 30 A 1.8 m 0.9 m e E Problem 6/32 In Sl unit please! want to see the different approach to get accerelation at B from the solution manual. Thanks!

Answer 1

given data We 10019 Cade plotform 150ms015mls O.6m AD O.9 F FE 0.9 A | O9m AOOLO Lengrh 4 Ac - AC OA AC AB inu5 Gin ABc Gin (во-50-u5) CD: longin ond (Ot 30) A0t AC2CxADx Cos - YCD O9065- 2 x 0.9x0-65x Co8(7530) 2. 5.61

ditterentiad El. un.Y.t. time. ED ADAČ- 2A D«AC » cos (e30) Oto2r ADXAC Go (0+30) 15 2rOo1y .65 sio (45+30) - x 5 61m x = l.u8 1adlec And timu w..t 3 fP 2. os(30t e)eef 2 x ADXAC 20.16 20-4x0 65 los (951 30) 1.Usqx inlas130 O.u5 (-0 53+n (io5)x The velocity at poind B fel.u89E)x0g fs oi + rinej) 0 t u89xO.9 (-co835948inasj) 0.258 293 ms

ACanauion at point (e/A) 5609os5in5j) -os 951+eins 2.2 x0.9 0269 C 569-62 mls Oraus ee Body -liqfam Considunfor eauilibriur) Conetior h&izonta dliveton b Vnttred clietim. mar loo 1.56 - 156 N. Fy may 100 1652) ->N= 265-2A 400 N

abouct N mar (Ahou 3 43 20(-4) x Q5 15 20X 30.52 N -divcuion tlong 20x l-5 EFn max -1 By- F-Rf Coso 220.a8N dieution may 20 N in0 = May EFy 30 52 x6in5 - |2-6.12 N 220.48 t 126-12- (23- N RB = 2.86 N
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