Question

The platform assembly has a weight of 1,000 N and center of gravity at G1. If it is intended to support a maximum load of 1,600 N placed at point G2, determine the smallest counterweight that should be placed at B in order to prevent the platform from tipping over.

1 m 3 m 4 m 3m- 0.5 m 0.5 m The platform assembly has a weight of 1,000 N and center of gravity at G1. If it is intended to support a maximum load of 1,600 N placed at point G2, determine the smallest counterweight that should be placed at Bin order to prevent the platform from tipping over. Your answer: Smallest counterweight that should be placed at Bin N (round the result to the nearest integer):

Answer 1

ANSWER

Given data

WG1 = 1000N

WG2 = 1600N
The smallest counter weight that should be placed at B' in order to prevent the from Lipping over platform WG2 = 1600N GO WG000 14.00 0-50 3M T OSMR BC when the platform tips over the wheel at C' will seperate from the floor. from the FBD, the upuard reaction force acting at the point ic is zero Rc=0 . Taking Moment about 'D! EMOTO Re (0.2+3 +0.5) – WB (3+017) – WG, X 0.5+WG7 (1)=0.

ox(02+8+0.5) -- W8 (3+05) - 1000 X(05) + 1600 x10 – WB (3.5) - 500 +1600 = 0 -3.5 WB + 1100 = 0 3.5 WD = -1100 · WB = -1100 -3.5 WB = 314.281,