A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where the spring is deformed by 0.2 m, the disk is released from rest. Adx Assume that the disk will roll without sliding after release. The coefficient of non-sliding friction between the floor and the disk is 0.3. 1. Which of the following kinematic relationships relating the acceleration of the mass center of the disk a, and its angular acceleration a is correct? a. a, = 0.7a b. 1.4a, = a c. 0.7a, = a d. a, = 1.4 2. Given the force diagram of the package, which of the following is the most ideally constructed diagram? 8 17W (0.7) +0.2k=fg#t+ma(0.7)² 3. Which of the following equations summing of moments about A is correct and can be used to solve for the angular acceleration of the disk? 8 W(0.7)+0.2k(0.7) = lça + m²(0.7)² 17 8 W(0.7) +0.2k(0.7) = ₂#+m(0.7) 17 15 W(0.7)+02k(87)-Ig+ma(0.7) 17 4. What is the total acceleration of the mass center of the disk? 5. What is the magnitude and direction of the frictional force between the disk and the floor? A B C
A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where the spring is deformed by 0.2 m, the disk is released from rest. Adx Assume that the disk will roll without sliding after release. The coefficient of non-sliding friction between the floor and the disk is 0.3. 1. Which of the following kinematic relationships relating the acceleration of the mass center of the disk a, and its angular acceleration a is correct? a. a, = 0.7a b. 1.4a, = a c. 0.7a, = a d. a, = 1.4 2. Given the force diagram of the package, which of the following is the most ideally constructed diagram? 8 17W (0.7) +0.2k=fg#t+ma(0.7)² 3. Which of the following equations summing of moments about A is correct and can be used to solve for the angular acceleration of the disk? 8 W(0.7)+0.2k(0.7) = lça + m²(0.7)² 17 8 W(0.7) +0.2k(0.7) = ₂#+m(0.7) 17 15 W(0.7)+02k(87)-Ig+ma(0.7) 17 4. What is the total acceleration of the mass center of the disk? 5. What is the magnitude and direction of the frictional force between the disk and the floor? A B C
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 7.57P: The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a...
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