Question

Two blocks with mass m1 and m2 are connected by a massless string that passes over a massless and frictionless pulley. The coefficients of static and kinetic friction between block 1 and the table are ?s and ?k. The blocks are held at rest and then released. (a) What is the minimum value ?s^min of the coefficient of static friction that would be required to keep the masses in place after they are released? Express your result in terms of any or all of the following quantities: m1, m2, g. (b) Assume that the coefficient of static friction is less than this minimum value in (a) so that the blocks move after they are released. Use energy methods to derive an expression for the speed v of the two blocks after the two blocks have moved a distance L. (c) Derive this same result using Newton's laws. Compare the two approaches. Which is more efficient (takes less steps)?

          Two blocks with mass m1 and m2 are connected by a massless string that passes over a massless and frictionless pulley. The coefficients of static and kinetic friction between block 1 and the table are ?s and ?k. The blocks are held at rest and then released.

(a) What is the minimum value ?s^min of the coefficient of static friction that would be required to keep the masses in place after they are released? Express your result in terms of any or all of the following quantities: m1, m2, g.

(b) Assume that the coefficient of static friction is less than this minimum value in (a) so that the blocks move after they are released. Use energy methods to derive an expression for the speed v of the two blocks after the two blocks have moved a distance L.

(c) Derive this same result using Newton's laws. Compare the two approaches. Which is more efficient (takes less steps)?

Two blocks with mass m1 and m2 are connected by a massless string that passes over a massless and frictionless pulley. The coefficients of static and kinetic friction between block 1 and the table are ?s and ?k. The blocks are held at rest and then released.

(a) What is the minimum value ?s^min of the coefficient of static friction that would be required to keep the masses in place after they are released? Express your result in terms of any or all of the following quantities: m1, m2, g.

(b) Assume that the coefficient of static friction is less than this minimum value in (a) so that the blocks move after they are released. Use energy methods to derive an expression for the speed v of the two blocks after the two blocks have moved a distance L.

(c) Derive this same result using Newton's laws. Compare the two approaches. Which is more efficient (takes less steps)?

Added by Mary S.

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