Example C: A spring with constant k = 40 N/m is attached to a surface and a block of .25 kg as shown. The block is brought to a position 20 cm from equilibrium and released and allowed to oscillate on a frictionless surface. a) Draw a free body diagram of the block when its position is -20 cm. 20 cm b) Determine the period of the spring-block system c) Determine the max speed of the block. d) Derive an expression for the displacement of the block as a function of time. .25 kg 0 cm ни + -20 cm e) On the graphs below, plot the displacement, velocity and acceleration of the block vs. time f) Plot the potential and kinetic energy of the block.
Example C: A spring with constant k = 40 N/m is attached to a surface and a block of .25 kg as shown. The block is brought to a position 20 cm from equilibrium and released and allowed to oscillate on a frictionless surface. a) Draw a free body diagram of the block when its position is -20 cm. 20 cm b) Determine the period of the spring-block system c) Determine the max speed of the block. d) Derive an expression for the displacement of the block as a function of time. .25 kg 0 cm ни + -20 cm e) On the graphs below, plot the displacement, velocity and acceleration of the block vs. time f) Plot the potential and kinetic energy of the block.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 44PQ
Related questions
Question
![Example C: A spring with constant k = 40 N/m is attached to a surface
and a block of .25 kg as shown. The block is brought to a position 20 cm
from equilibrium and released and allowed to oscillate on a frictionless
surface.
a) Draw a free body diagram of the block when its position is -20 cm.
20 cm
b) Determine the period of the spring-block system
c) Determine the max speed of the block.
d) Derive an expression for the displacement of the block as a function of time.
.25 kg
0 cm
ни
+
-20 cm
e) On the graphs below, plot the displacement,
velocity and acceleration of the block vs. time
f) Plot the potential and kinetic energy of the block.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74b1d7de-cccf-4efc-8220-47c73543aa35%2F73e32411-9ffc-42cb-926e-c86c8b0ef3e8%2Fwd5enoc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example C: A spring with constant k = 40 N/m is attached to a surface
and a block of .25 kg as shown. The block is brought to a position 20 cm
from equilibrium and released and allowed to oscillate on a frictionless
surface.
a) Draw a free body diagram of the block when its position is -20 cm.
20 cm
b) Determine the period of the spring-block system
c) Determine the max speed of the block.
d) Derive an expression for the displacement of the block as a function of time.
.25 kg
0 cm
ни
+
-20 cm
e) On the graphs below, plot the displacement,
velocity and acceleration of the block vs. time
f) Plot the potential and kinetic energy of the block.
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