Question

A 20-kg cabinet is mounted on casters that allow it to move freely (u = 0) on the floor if a 100-N force is applied as shown, determine the acceleration of the cabinet and the range of values of h for which the cabinet will not tip G 0.9 m 0.6 m The acceleration of the cabinet is Range of values of h m/s? — (Round the final answer to wo decimal places) (Round the final answer to three decimal places.) sh

Answer 1

* given m = 20kg F 1OON U O F.B.D wing ma 100N ni 0.9m ام على B BL IK 0'3m 03m we know s fre=0 (H)= (+)ve] LOON ma a (10420) = 5m/ sech aceleration of the Cobinet (a): 5 m/sec2 Ans. ay EIMB) eff by for clockwise tipping to impend (3) A = 0 +) {MB (100N) n mg (0-3) ma 10.9m) (100N)" ( 2049.81x03) = (100x.9m)ay h:1.489 m

too Counterclockwise tipping to impend()B=0 +D EMA EMA)e eft 100N)h + mg (0-3 m) - ma (0.9m) (1004)n + (20189 x 9.81 m) sectx 0.3 m) = (100 N x0.9 m) n0'311 m. am Am. 0:311 m 3h 51.489m if Cabinet will not tip. Reflection you push for som about a foot from the on the fridge will tip over on you. on you you could also do this by summing moment about G. and Summing force in the yo ground, the fridge direction