Q.5) (10 Marks) Six light springs connected to a small copper sphere of mass as shown...

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Q.5) (10 Marks) Six light springs connected to a small copper sphere of mass as shown in the following figure. The spring constants are in the ratio, therefore the potential energy function can be written as eeeeee feeeee At time the sphere receives a push in the direction that imparts to it a speed at the origin. Given that What are the components of the differential equations of motion for the sphere. Find as functions of the time. (e Does the sphere ever repeat its path? ( If so, for what value of does it first return to the origin with the same velocity that it had at ? Answer to Question 5[Insert solution image after this line]: Q.5) (10 Marks) Six light springs connected to a small copper sphere of mass as shown in the following figure. The spring constants are in the ratio, therefore the potential energy function can be written as eeeeee feeeee At time the sphere receives a push in the direction that imparts to it a speed at the origin. Given that What are the components of the differential equations of motion for the sphere. Find as functions of the time. (e Does the sphere ever repeat its path? ( If so, for what value of does it first return to the origin with the same velocity that it had at ? Answer to Question 5[Insert solution image after this line]:

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Potential energy U of the spring As per question we take simple ratio of spring as k along x ... View the full answer