3. Consider the system in Figure 3-15. Initially the spring has its unstretched length lo and the particle has a velocity v, in the direction shown. In the motion that follows, the spring stretches to a maximum length of 4l0/3. The motion is in horizontal plane (assume no gravity). Set up an inertial reference frame and draw the FBD of the system. Then, (i) Write the Newton's laws for the particle along with the appropriate conditions (initial, final), (ii) then integrate the equations of motion (or use appropriate principles) to solve for the spring stiffness k as a function of m,lo,vɔ. (Problem 3-15 in the text). in Figure P3-15

3. Consider the system in Figure 3-15. Initially the spring has its unstretched length lo and the particle has a velocity v, in the direction shown. In the motion that follows, the spring stretches to a maximum length of 4l0/3. The motion is in horizontal plane (assume no gravity). Set up an inertial reference frame and draw the FBD of the system. Then, (i) Write the Newton's laws for the particle along with the appropriate conditions (initial, final), (ii) then integrate the equations of motion (or use appropriate principles) to solve for the spring stiffness k as a function of m,lo,vɔ. (Problem 3-15 in the text). in Figure P3-15

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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Question

3. Consider the system in Figure 3-15. Initially the spring has its unstretched length lo and
the particle has a velocity vo in the direction shown. In the motion that follows, the
spring stretches to a maximum length of 41/3. The motion is in horizontal plane
(assume no gravity). Set up an inertial reference frame and draw the FBD of the system.
Then, (i) Write the Newton's laws for the particle along with the appropriate conditions
(initial, final), (ii) then integrate the equations of motion (or use appropriate principles)
to solve for the spring stiffness k as a function of m, lo,vo- (Problem 3-15 in the text).
-lo
Figure P3-15

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