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A body of mass 40kg stands on a weighing machine in an accelerated lift. The reading on the scale of the weighing machine is 300N.find the magnitude and direction of acceleration.
weight is the upward reaction force of the base we stand on=Rgravitational force is acts downward on the body=mgan upward acceleration exists=manow how to form the equation of motion, 1st forget the acceleration. without it R and mg balance each other out. net force is zeroR=mg ;mg -R=0now there is a force present ma, so the equation becomesmg-R=mathe force ma is upward, so correct the directionR-mg=mama=R-mg=800–400=400 Nthen a=10 m/s2.
weight is the upward reaction force of the base we stand on=R
gravitational force is acts downward on the body=mg
an upward acceleration exists=ma
now how to form the equation of motion, 1st forget the acceleration. without it R and mg balance each other out. net force is zero
R=mg ;
mg -R=0
now there is a force present ma, so the equation becomes
mg-R=ma
the force ma is upward, so correct the direction
R-mg=ma
ma=R-mg=800–400=400 N
then a=10 m/s2.
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