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Question 17N.3.SL.TZ0.d

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Date November 2017 Marks available [Maximum mark: 2] Reference code 17N.3.SL.TZ0.d
Level SL Paper 3 Time zone TZ0
Command term State Question number d Adapted from N/A
d.
[Maximum mark: 2]
17N.3.SL.TZ0.d

A hoop of mass m, radius r and moment of inertia mr2 rests on a rough plane inclined at an angle θ to the horizontal. It is released so that the hoop gains linear and angular acceleration by rolling, without slipping, down the plane.

State the relationship between the force of friction and the angle of the incline.

[2]

Markscheme

ALTERNATIVE 1

N = mg cos θ

Ff ≤ μmg cos θ

ALTERNATIVE 2

Ff = ma «from 7(b)»

so Ff =  m g sin θ 2