A mower is lowering packages as shown in the driveway by pulling on a cable para

Question

A mower is lowering packages as shown in the driveway by pulling on a cable parallel to the surface of the driveway. the packages move together at the rate of 15 cm/s. Uk is 0.444 between the driveway and the lower package and Us is 0.800 between the two packages. What force do you need to do this? (hint: look for tension in the rope).

A ower repackages nuwe driveway ty cati perakl to the surface of as thown way at the tale of 1Seni Ukita between the div and the lower puckage andes sognobetwees the twapeckage. what force do youn ed todo thin? for tertiarin the repel Sown

Explanation / Answer

velocity is constant and both are moving together.

Hence there is no net acceleration of the system ( suppose both block as a system).

The net force along the driveway must be zero as per the Newton's second law.

There are three forces along the driveway:

Tension force, friction force and a component of the force due to gravity.

The mass of the blocks are not clear in the image,( please update the values in case of any conflict)

m1 = 3.2 kg

m2= 4.8kg

m = m1+m2

tan(theta) = 250/475

theta = 27.76 degree.

T = mg sin(theta) + mu*mg cos(theta)

T = 8*9.81*sin(27.76 deg) + 0.444*8*9.81*cos(27.76 deg)

T = 67.388 N.

required force = 67.388 N.

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