In the right figure, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms. The block's position is given by x = 1 cm · cos(wt + π/2). Block 1 of mass 4.0 kg slides toward block 2 with a ve- locity of magnitude 6.0 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collisio duration of the collision is much less than the period of motion a) Determine the spring constant k 1

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.4P: Refer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total...
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In the right figure, block 2 of mass 2.0 kg oscillates on
the end of a spring in SHM with a period of 20 ms. The
block's position is given by x = = 1 cm · cos(wt + π/2).
Block 1 of mass 4.0 kg slides toward block 2 with a ve-
locity of magnitude 6.0 m/s, directed along the spring's
length. The two blocks undergo a completely inelastic collision at time t'
duration of the collision is much less than the period of motion.)
=
k
00000
5.0 ms. (The
a) Determine the spring constant k.
b) Determine the position of block 2 at the instant of the collision t'.
c) What is the velocity of block 2 at the instant of the collision t'?
d) Determine the velocity v' of block 1 and 2 right after the collision.
e) What types of energy are present right after the collision? Calculate their values.
f) What is the amplitude of the SHM after the collision?
Transcribed Image Text:. In the right figure, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms. The block's position is given by x = = 1 cm · cos(wt + π/2). Block 1 of mass 4.0 kg slides toward block 2 with a ve- locity of magnitude 6.0 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t' duration of the collision is much less than the period of motion.) = k 00000 5.0 ms. (The a) Determine the spring constant k. b) Determine the position of block 2 at the instant of the collision t'. c) What is the velocity of block 2 at the instant of the collision t'? d) Determine the velocity v' of block 1 and 2 right after the collision. e) What types of energy are present right after the collision? Calculate their values. f) What is the amplitude of the SHM after the collision?
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