The figure shows the pendulum of a clock in your grandmother's house. The uniform rod of length L = 2.00 m has a mass m = 0.880 kg. Attached to the rod is a uniform disk of mass M = 1.40 kg and radius 0.150 m. The clock is constructed to keep perfect time if the period of the pendulum is exactly 2.50 s. L What should the distance d be so that the period of this pendulum is 2.40 s? Δd = m M 0.150 m Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company Suppose that the pendulum clock loses 5.00 min/day. To make sure your grandmother will not be late for her quilting parties, you decide to adjust the clock back to its proper period. What distance Ad and in what direction should you move the disk to ensure that the clock will keep perfect time? d = cm directon of Ad: upward m

icon
Related questions
Question
The figure shows the pendulum of a clock in your grandmother's house. The uniform rod of length \( L = 2.00 \, \text{m} \) has a mass \( m = 0.880 \, \text{kg} \). Attached to the rod is a uniform disk of mass \( M = 1.40 \, \text{kg} \) and radius \( 0.150 \, \text{m} \). The clock is constructed to keep perfect time if the period of the pendulum is exactly \( 2.50 \, \text{s} \).

*Diagram Description:*

The diagram shows a pendulum clock with a rod and a disk. The rod is vertically oriented, labeled with length \( L \). Attached to the bottom of the rod is a disk with a specified radius of \( 0.150 \, \text{m} \). The distance from the pivot point to the center of mass of the pendulum is labeled as \( d \).

*Questions:*

1. What should the distance \( d \) be so that the period of this pendulum is \( 2.40 \, \text{s} \)?

   \[
   d = \, \text{_____ m}
   \]

2. Suppose that the pendulum clock loses \( 5.00 \, \text{min/day} \). To ensure your grandmother will not be late, you decide to adjust the clock back to its proper period.

   What distance \( \Delta d \) and in what direction should you move the disk to ensure that the clock will keep perfect time?

   \[
   \Delta d = \, \text{_____ cm} \quad \text{direction of } \Delta d: \, \text{upward (dropdown option)}
   \]
Transcribed Image Text:The figure shows the pendulum of a clock in your grandmother's house. The uniform rod of length \( L = 2.00 \, \text{m} \) has a mass \( m = 0.880 \, \text{kg} \). Attached to the rod is a uniform disk of mass \( M = 1.40 \, \text{kg} \) and radius \( 0.150 \, \text{m} \). The clock is constructed to keep perfect time if the period of the pendulum is exactly \( 2.50 \, \text{s} \). *Diagram Description:* The diagram shows a pendulum clock with a rod and a disk. The rod is vertically oriented, labeled with length \( L \). Attached to the bottom of the rod is a disk with a specified radius of \( 0.150 \, \text{m} \). The distance from the pivot point to the center of mass of the pendulum is labeled as \( d \). *Questions:* 1. What should the distance \( d \) be so that the period of this pendulum is \( 2.40 \, \text{s} \)? \[ d = \, \text{_____ m} \] 2. Suppose that the pendulum clock loses \( 5.00 \, \text{min/day} \). To ensure your grandmother will not be late, you decide to adjust the clock back to its proper period. What distance \( \Delta d \) and in what direction should you move the disk to ensure that the clock will keep perfect time? \[ \Delta d = \, \text{_____ cm} \quad \text{direction of } \Delta d: \, \text{upward (dropdown option)} \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Similar questions