No. Does it make since that in order to make and keep the object stopped that you would have to apply a sinusoidally varying force on it for the rest of time?Do you think this solution is right?
I think after an imaginary Impulse force applied to the above system,the change in the position of M will be sinusoidal as I derived it in my solution...Again, consider what it means to apply an impulsive force to a system. An impulse does what? What is different about a system before and after an impulse is applied?
I'm asking about it at a more fundamental level.I think after an imaginary Impulse force applied to the above system,the change in the position of M will be sinusoidal as I derived it in my solution...
I didn't get your point thoroughly, you want the meaning of an impulsive force? or in general, an impulse function? that's here...I'm asking about it at a more fundamental level.
I have an object sitting on a table. I apply an impulsive force to it. What is the consequence of doing so?
Hint: What are the units on an impulsive force? Those are units of what?
Well I'm an electrical engineering student and I learned about impulsive function in circuits theory and know about its effects on a circuit not in mechanical systems...I learned, in circuits the impulse can change the initial conditions ...the given problem is related to one of my courses (Linear Control Systems) and I think in this course one purpose is find a relation between mechanical systems and circuits...I think we have to look at the problem in a mathematical way...the impulsive force have to be seen as a mathematical function for the force and then we apply newton's second law to solve the problem...I was asking specifically about an impulsive force in mechanics.
You have an object (say of mass M) sitting on a (frictionless) table. You apply an impulsive force (say I) to it. What do you know about the mass after the impulse is applied?
This is foundational. How can you work a problem involving impulsive forces applied to a system if you don't understand what an impulsive force is and what it does to a system when applied to it?
I think this is the answer we're gonna find after solving the problem mathematically...What do you know about the mass after the impulse is applied?
Okay, so let's do it mathematically.I think this is the answer we're gonna find after solving the problem mathematically...
Hello again,I think after an imaginary Impulse force applied to the above system,the change in the position of M will be sinusoidal as I derived it in my solution...
Okay, so let's do it mathematically.
Again, let's go with a simple system so that we can learn about the fundamental relationships involved. Use the block (of mass M initially at rest on a frictionless surface) and then apply an impulse of magnitude I to it. Do the math and see what you get. In particular, after the impulse is applied what is the block's velocity, momentum, and energy. Do you see any simple relationship between any of them and the magnitude of the impulse?
If so,I've made a mistake in my math...Can you tell me which part of the solution in post #3 is not right?But to be more exact, it's not a sine, it may be a cosine, so you should do your math over again. If the original forcing function was a unit step then it would be a sine, but it's an impulse not a step.
I think the second photo I've posted can answer your question...I just solved it mathematically...Simplified version:
You have a mass in deep space that is not moving relative to your position. You apply a large force for a very short time and it starts moving away. Your friend is some distance away and sees it coming toward him. What force does he apply to stop the mass?
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