Question

Two masses, m and M, of 1.0 and 3.0 kg, respectively, are connected by rope passing through a pulley. The mass m is on an inclined plane without friction making an angle 30o with the horizontal. The mass M is on a horizontal plane without friction. The pulley, located between the two masses, is of negligible mass and offers no friction for the rope. A force, Fapp, is applied to the mass M, as illustrated below.

a. Considering a module Fapp of 2.3 N, calculate the tension in the rope between two masses.

b. Calculate the maximum value of the Fapp so that the tension in the rope is zero.

Tm 300

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Answer #1

The block will have net acceleration . We will equate the horizontal and vertical components of forces to find the tension T in the rope.

Calculation is as shown below

Cn Fabb 1 0 Ym and fos mau M om eatn and find occetesation (a) (34-1) k : 1625 ms Put in eutn② 5) for fat r a A m

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