1.

A cyclist going around a circular road of radius 10 m is observed to be bending inward 30° with vertical. Frictional force acting on the cyclist is ? (Given:g=10, mass of the cyclist is 90 kg)​

Answer»

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★ Gɪᴠᴇɴ ★

  • Radius of circular road = 10m
  • Mass of the CYCLIST = 90 kg
  • The cyclist OBSERVED to be bending INWARD vertical of 30°

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☯ Tᴏ Fɪɴᴅ ☯

  • Frictional force acting on the cyclist

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✪ Sᴏʟᴜᴛɪᴏɴ ✪

→ Rsinθ = FS ____(1)

→ Rcosθ = mg ____(2)

DIVIDING equation (1) & (2)

→ tanθ = fs/mg

→ tan(30°) = fs/90×10

→ fs = 900 tan(30°)

→ fs = 900 × 0.577

→ fs = 519.6 ≈ 520N

  • ☑ Frictional force acting on the cyclist is 520N

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