Two match officials carry an injured rugby player from a rugby field on a stretc

Question

Two match officials carry an injured rugby player from a rugby field on a stretcher. The rugby player weighs 95kg and the stretcher is 2.5m long. One of the stretcher bearers (bearer A) is able to lift a weight of 60kg; the other (bearer B) is unsure how much weight he is able to lift.
a.) How much weight must bearer B support?
b.) How far from bearer A must the injured rugby players center of mass be in order for the strecher bearer to carry the load without tipping the injured player out?


(Please Show work!!)

Explanation / Answer

a)Balancing forces,

Weight supported by bearer B=(95-60)g=35g=343N

b)Let COM of player be at distance x from bearer A.

Balancing moments,

x*95g-2.5*35g=0

x=0.92m

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