# A track consists of two circular parts

Question:

A track consists of two circular parts $\mathrm{ABC}$ and CDE of equal radius $100 \mathrm{~m}$ and joined smoothly as shown in figure (7-E1). Each part subtends a right angle at its centre. A cycle weighing $100 \mathrm{~kg}$ together with the rider travels at a constant speed of $18 \mathrm{~km} / \mathrm{h}$ on the track.

(a) Find the normal contact force by the road on the cycle when it is at B and at D.

(b) Find the force of friction exerted by the track on the tyres when the cycle is at $B, C$ and $D$.

(c) Find the normal force between the road and the cycle just before and just after the cycle crosses C.

(d) What should be the minimum friction coefficient between the road and the tyre, which will ensure that the cyclist can move with constant speed? Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

Solution:
The text passage contains a physics problem that involves multiple questions related to forces and friction on a track. The questions ask for specific calculations and values.
multiple_questions
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# A track consists of two circular parts

Question:

A track consists of two circular parts $\mathrm{ABC}$ and CDE of equal radius $100 \mathrm{~m}$ and joined smoothly as shown in figure (7-E1). Each part subtends a right angle at its centre. A cycle weighing $100 \mathrm{~kg}$ together with the rider travels at a constant speed of $18 \mathrm{~km} / \mathrm{h}$ on the track.

(a) Find the normal contact force by the road on the cycle when it is at B and at D.

(b) Find the force of friction exerted by the track on the tyres when the cycle is at $B, C$ and $D$.

(c) Find the normal force between the road and the cycle just before and just after the cycle crosses C.

(d) What should be the minimum friction coefficient between the road and the tyre, which will ensure that the cyclist can move with constant speed? Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

Solution:
user
The text passage contains a physics problem that involves multiple questions related to forces and friction on a track. The questions ask for specific calculations and values.

TYPE: MULTIPLE_QUESTIONS