A 35 kg child sits on a 20 kg tricycle, which has three wheels touching the grou

Question

A 35 kg child sits on a 20 kg tricycle, which has three wheels touching the ground. What is the total upwards force on the three wheels of the tricycle?

A. 340 N

B. 540 N

C. 620 N

D. 180 N

Wheels A, B, and C have the same mass, and each has most of its mass distributed around the edge of the wheel. If the radii of the wheels are rA = R, rB = 2R, and rC = 3R/2, what is the correct comparison of their moments of inertia?

A. IA > IB > IC

B. IB > IC > IA

C. IA > IC > IB

D. IB > IA > IC

Explanation / Answer

Total mass, M = 20+35

M = 55 kgs

Total force exerted by three wheels on ground is = Mg

Fdownward = (55) (9.8)

Fdownward = 539 N

Closest to 540 N

Option is "B" is correct.

I = mr2

I is directly proportional to square of radius. And mass is equal.
Therefore more radius means more Moment of Inertia.

IB > IC > IA

Option "B" is correct

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