text: # 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:
explanation: The document contains a physics problem involving a track with two circular parts and a cycle moving at a constant speed. The problem asks for various forces and the minimum friction coefficient required for the cycle to move with constant speed. The document includes both the question and the solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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:
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a physics problem involving a track with two circular parts and a cycle moving at a constant speed. The problem asks for various forces and the minimum friction coefficient required for the cycle to move with constant speed. The document includes both the question and the solution.
  
  Label: question-and-answer