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A 256-b block is released from rest when the spring is unstretched. The drum has a weight of 76 Ib and a radius of gyration of ko - 0.9 t about its center of mass O. The coefficient of stiffness of the spring is k-78 Ib/ft. The radius of the drum are: f-0.485ft and rau-0.82t. The velocity of the block after it has descended d-4 feet. Give your answer with 1 decimal.

A 256-b block is released from rest when the spring is unstretched. The drum has a weight of 76 Ib and a radius of gyration of ko - 0.9 t about its center of mass O. The coefficient of stiffness of the spring is k-78 Ib/ft. The radius of the drum are: f-0.485ft and rau-0.82t. The velocity of the block after it has descended d-4 feet. Give your answer with 1 decimal.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A 256-lb block is released   from rest when the spring is unstretched. The drum has a weight of 76 lb and a radius   of gyration of kO = 0.9 ft   about its center of mass O. The coefficient of stiffness of the spring is k=78 lb/ft. The radius of the drum are: rin=0.485ft and rout=0.82ft.

Find the velocity of the block after it has descended d=4 feet.

**Mechanical Dynamics: Spring and Drum System** A 256-pound block is released from rest when the spring is unstretched. The drum has a weight of 76 pounds and a radius of gyration of \( k_O = 0.9 \) ft about its center of mass \( O \). The coefficient of stiffness of the spring is \( k = 78 \) lb/ft. The radius of the drum are: \( r_{\text{in}} = 0.485 \) ft and \( r_{\text{out}} = 0.82 \) ft. **Illustration: Spring-Drum System** - The diagram illustrates a spring connected to a block and drum system. - The spring is attached to a drum that rotates around its center. - The radius from the center of the drum to the outer edge where the spring is connected is \( r_{\text{out}} \). - Another radius, \( r_{\text{in}} \), is indicated within the drum's dimensions. The task is to find the velocity of the block after it has descended \( d = 4 \) feet. Your final answer should be rounded to one decimal place.
Transcribed Image Text:**Mechanical Dynamics: Spring and Drum System** A 256-pound block is released from rest when the spring is unstretched. The drum has a weight of 76 pounds and a radius of gyration of \( k_O = 0.9 \) ft about its center of mass \( O \). The coefficient of stiffness of the spring is \( k = 78 \) lb/ft. The radius of the drum are: \( r_{\text{in}} = 0.485 \) ft and \( r_{\text{out}} = 0.82 \) ft. **Illustration: Spring-Drum System** - The diagram illustrates a spring connected to a block and drum system. - The spring is attached to a drum that rotates around its center. - The radius from the center of the drum to the outer edge where the spring is connected is \( r_{\text{out}} \). - Another radius, \( r_{\text{in}} \), is indicated within the drum's dimensions. The task is to find the velocity of the block after it has descended \( d = 4 \) feet. Your final answer should be rounded to one decimal place.
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