DP Physics (last assessment 2024)

Test builder »

Question 17N.3.SL.TZ0.e

Select a Test
Date November 2017 Marks available [Maximum mark: 3] Reference code 17N.3.SL.TZ0.e
Level SL Paper 3 Time zone TZ0
Command term Determine Question number e Adapted from N/A
e.
[Maximum mark: 3]
17N.3.SL.TZ0.e

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.

The angle of the incline is slowly increased from zero. Determine the angle, in terms of the coefficient of friction, at which the hoop will begin to slip.

[3]

Markscheme

Ff = μmg cos θ

m g sin ⁡ θ 2 = mg sin θ – μmg cos θ

OR

mg  sin ⁡ θ 2 = μmg cos θ

algebraic manipulation to reach tan θ = 2μ

Syllabus sections