**Conical Pendulum Problem**Consider a conical pendulum with a bob of mass \( m = 72.0 \, \text{kg} \) on a string of length \( L = 10.0 \, \text{m} \) that makes an angle of \( \theta = 2.00^\circ \) with the vertical. (Consider \( +\hat{\imath} \) to be towards the center of the circular path and \( +\hat{\jmath} \) to be upward.)![Diagram of a conical pendulum with relevant angles and labels]**Tasks:**(a) **Determine the horizontal and vertical components of the force** exerted by the string on the pendulum.- Horizontal Component: \[ \_\_\_ \, \text{N} \, \hat{\imath} \]- Vertical Component: \[ \_\_\_ \, \text{N} \, \hat{\jmath} \](b) **Determine the radial acceleration** of the bob.- Radial Acceleration: \[ \_\_\_ \, \text{m/s}^2 \]**Diagram Explanation:**The diagram shows a spherical bob suspended from a fixed point by a string. The string and bob form an angle \( \theta = 2.00^\circ \) with the vertical line from the point of suspension. The bob swings above the horizontal plane, tracing a circular path. In the illustration, labels indicate \( L \) as the length of the string, \( m \) as the mass of the bob, and \( \theta \) as the angle with the vertical.The coordinate system is denoted with \( +\hat{\imath} \) horizontally towards the center of the circular motion and \( +\hat{\jmath} \) vertically upward.

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conical pendulum with a bob of mas

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Conical Pendulum Problem**

Consider a conical pendulum with a bob of mass \( m = 72.0 \, \text{kg} \) on a string of length \( L = 10.0 \, \text{m} \) that makes an angle of \( \theta = 2.00^\circ \) with the vertical. (Consider \( +\hat{\imath} \) to be towards the center of the circular path and \( +\hat{\jmath} \) to be upward.)

![Diagram of a conical pendulum with relevant angles and labels]

**Tasks:**

(a) **Determine the horizontal and vertical components of the force** exerted by the string on the pendulum.
- Horizontal Component: \[ \_\_\_ \, \text{N} \, \hat{\imath} \]
- Vertical Component: \[ \_\_\_ \, \text{N} \, \hat{\jmath} \]

(b) **Determine the radial acceleration** of the bob.
- Radial Acceleration: \[ \_\_\_ \, \text{m/s}^2 \]

**Diagram Explanation:**

The diagram shows a spherical bob suspended from a fixed point by a string. The string and bob form an angle \( \theta = 2.00^\circ \) with the vertical line from the point of suspension. The bob swings above the horizontal plane, tracing a circular path. In the illustration, labels indicate \( L \) as the length of the string, \( m \) as the mass of the bob, and \( \theta \) as the angle with the vertical.

The coordinate system is denoted with \( +\hat{\imath} \) horizontally towards the center of the circular motion and \( +\hat{\jmath} \) vertically upward.

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