Connected Bodies - The Lift Problem (AQA A-Level Mathematics): Flashcards

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Connected Bodies - The Lift Problem
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Law used in lift problem

Newton's second law of motion

Forces acting on lift

Weight MgMg (down), tension TT (up)

Forces on person in lift

Weight mgmg (down), normal force NN (up)

Tension formula for lift

T=M(g+a)T = M(g + a) (aa positive up, negative down)

Apparent weight formula

N=m(g+a)N = m(g + a) (aa positive up, negative down)

Apparent weight when a=0a = 0

N=mgN = mg (equals actual weight)

Apparent weight when lift accelerates up (a>0a > 0)

N=m(g+a)N = m(g + a), feels heavier

Apparent weight when lift accelerates down (a<0a < 0)

N=m(ga)N = m(g - |a|), feels lighter

Apparent weight in free fall (a=ga = g)

N=0N = 0, weightlessness

How person feels when lift accelerates upward

Heavier

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