Problem 25.3A spring-loaded boot-on-a-stick kicks a marble as shown in the figure. Initially both the boot and marbleare stationary. To load the device, the boot is swung up to the position shown and the uncompressedspring on the ceiling is compressed a distance d. The stationary boot is then released, swinging down andto the left before kicking the marble. The mass of the boot and marble are mb and mm, respectively, andthe spring has a stiffness k. The stick of length L has negligible mass and is hinged to a frictionless pin atA.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 themarble 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 itwas 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 isacceptable.]508LSpring constant kCompressed distance d

Compressed distance=dMass of boot=mbMass of marble=mmStiffness of spring=kLength of stick=L

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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

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