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State the equation of centrifugal force on the Bob in a conical pendulum.

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Answer:

F = ma - T sinθ

Step-by-step explanation:

The equation of centrifugal force on the bob is F = ma - T sinθ.

A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of swinging back and forth, the bob of a conical pendulum moves at a constant speed in a circle with the string (or rod) tracing out a cone.

The centrifugal force (F) is the net horizontal outward force on the bob of the pendulum. By breaking T into its components, we get T sinθ acting horizontally in the +x-direction.

User Doug Wilhelm
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5 votes

Final answer:

The equation of centrifugal force on the bob in a conical pendulum is F_c = m * (v^2 / r), where F_c is the centrifugal force, m is the mass of the bob, v is the velocity of the bob, and r is the radius of the circular path.

Step-by-step explanation:

The equation of centrifugal force on the bob in a conical pendulum can be calculated using the following formula:

F_c = m * (v^2 / r)

Where:

  • F_c is the centrifugal force
  • m is the mass of the bob
  • v is the velocity of the bob
  • r is the radius of the circular path

For example, if a conical pendulum has a bob with a mass of 0.1 kg, a velocity of 2 m/s, and a radius of 0.5 m, the centrifugal force can be calculated as:

F_c = 0.1 * (2^2 / 0.5) = 0.8 N

User Patrick Ferreira
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