I want the ideas for solving those questions

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SUMMARY

This discussion focuses on solving problems related to Simple Harmonic Motion (SHM). The first question involves calculating the velocity and acceleration of a piston in a steam engine, given a crank rotation speed of 150 RPM and a stroke length of 2 meters. The second question pertains to determining the velocity and acceleration of a body in SHM with an amplitude of 1 meter and a period of 2 seconds, specifically after 0.4 seconds from the mean position. Key considerations include understanding the formulas for velocity and acceleration in SHM.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with the formulas for velocity and acceleration in SHM
  • Knowledge of angular velocity and its conversion to linear motion
  • Basic calculus for time-dependent motion analysis
NEXT STEPS
  • Study the equations of motion for Simple Harmonic Motion
  • Learn how to derive velocity and acceleration from displacement in SHM
  • Explore the relationship between angular velocity and linear velocity in mechanical systems
  • Investigate the effects of amplitude and period on SHM characteristics
USEFUL FOR

Students and professionals in physics, mechanical engineering, and anyone interested in understanding the dynamics of Simple Harmonic Motion and its applications in real-world systems.

manal950
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Hi all

How are you ...

I want the ideas or for solving those questions .

1 ) The piston of steam engine moves with simple Harmonic motion .
The crank rotates at 150 rpm and the stroke length is 2 m . Find the velocity and acceleration of the piston when it is at a distance of 0.8 m from the center .

2 ) A body moving with simple harmonic motion has an amplitude of 1 meter and the time for one complete oscillation is 2 seconds . Determine the velocity and acceleration of the body after 0.4 second from the mean position ?

I want the ideas for solving those questions and please tell what the considerations take on solve like those questions
 
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