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

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Connected Bodies - The Lift Problem
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What law is used to analyse lift problems?

Newton's second law of motion

Tension formula for lift mass MM, acceleration aa

T=M(g+a)T = M(g + a)

Apparent weight formula for person mass mm in lift

N=m(g+a)N = m(g + a)

What is the apparent weight in a lift?

Normal force NN exerted by lift floor

Apparent weight when lift stationary (a=0a = 0)

N=mgN = mg (equals actual weight)

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

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

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

N=m(g−∣a∣)N = m(g - |a|) (decreases, feels lighter)

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

N=0N = 0 (weightlessness)

Forces acting on the lift

Weight MgMg (down), Tension TT (up)

Forces on person inside lift

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

How person feels when lift accelerates upward

Heavier

How person feels when lift accelerates downward

Lighter

Tension when lift accelerates downward (magnitude aa)

T=M(g−a)T = M(g - a)

Person's experience in free fall

Weightlessness

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