A spring-loaded boot-on-a-stick kicks a marble as shown in the figure. Initially both the boot and marble are stationary. To load the device, the boot is swung up to the position shown and the uncompressed spring on the ceiling is compressed a distance d. The stationary boot is then released, swinging down and to the left before kicking the marble. The mass of the boot and marble are m, and mm, respectively, and the spring has a stiffness k. The stick of length L has negligible mass and is hinged to a frictionless pin at A. a. Find an expression for the velocity of the boot just before it kicks the marble. b. Assuming the boot and the marble stick together, find an expression for the velocity of the marble immediately after it has been kicked. c. If the spring was initially compressed a distance d/3 before the device was loaded, i.e., before it was compressed a distance d as described above, would the velocity found in part (a) increase, decrease or remain the same? Why? [A clear, concise, correct explanation without equations is acceptable.] 81 L Spring constant k Compressed distance d
A spring-loaded boot-on-a-stick kicks a marble as shown in the figure. Initially both the boot and marble are stationary. To load the device, the boot is swung up to the position shown and the uncompressed spring on the ceiling is compressed a distance d. The stationary boot is then released, swinging down and to the left before kicking the marble. The mass of the boot and marble are m, and mm, respectively, and the spring has a stiffness k. The stick of length L has negligible mass and is hinged to a frictionless pin at A. a. Find an expression for the velocity of the boot just before it kicks the marble. b. Assuming the boot and the marble stick together, find an expression for the velocity of the marble immediately after it has been kicked. c. If the spring was initially compressed a distance d/3 before the device was loaded, i.e., before it was compressed a distance d as described above, would the velocity found in part (a) increase, decrease or remain the same? Why? [A clear, concise, correct explanation without equations is acceptable.] 81 L Spring constant k Compressed distance d
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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