6. Prove that the given force, F (r) (-ky, -k:r, -4bz3), is conservative and find the...

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6. Prove that the given force, F (r) (-ky, -k:r, -4bz3), is conservative and find the corresponding potential. 7. Write down the generalized coordinates for a dust particle at the outer edge of one of the shafts of a three-shaft system being lifted upward. 8. Find the equation of constraint for a sphere of radius a constrained to roll without slipping on the lower half of the inner surface of the hollow cylinder of inside radius R. Is that constraint holonomic? Justify your answer. 6. Prove that the given force, F (r) (-ky, -k:r, -4bz3), is conservative and find the corresponding potential. 7. Write down the generalized coordinates for a dust particle at the outer edge of one of the shafts of a three-shaft system being lifted upward. 8. Find the equation of constraint for a sphere of radius a constrained to roll without slipping on the lower half of the inner surface of the hollow cylinder of inside radius R. Is that constraint holonomic? Justify your answer.

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6 ANSWER AND STEP BY STEP EXPLANATION To prove that the given force F r ky kr 4bz3 is conservative we must show that the curl of F is equal to zero To ... View the full answer