Two blocks attached by a string slide down a 19? incline.The lower block has a m

Question

Two blocks attached by a string slide down a 19? incline.The lower block has a mass of 0.25 kg and a coefficient of kinetic friction of 0.1. Theupper block has a mass of 0.7 kg and a coefficient of kinetic friction of 0.5.
Find the magnitude of the acceleration of the blocks. Theacceleration of gravity is 9.81 m/s2 . Answer in units ofm/s2.
Find the tension in the string. Answer in units ofN.

Two blocks attached by a string slide down a 19? incline.The lower block has a mass of 0.25 kg and a coefficient of kinetic friction of 0.1. Theupper block has a mass of 0.7 kg and a coefficient of kinetic friction of 0.5.
Find the magnitude of the acceleration of the blocks. Theacceleration of gravity is 9.81 m/s2 . Answer in units ofm/s2.
Two blocks attached by a string slide down a 19? incline.The lower block has a mass of 0.25 kg and a coefficient of kinetic friction of 0.1. Theupper block has a mass of 0.7 kg and a coefficient of kinetic friction of 0.5.
Find the magnitude of the acceleration of the blocks. Theacceleration of gravity is 9.81 m/s2 . Answer in units ofm/s2.
Find the tension in the string. Answer in units ofN.

Explanation / Answer

Consider the forces acting on both blocks along the incline:

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component of mg on block 1   - friction on block1 + comp of mg on block 2 - friction onblock 2 = total mass * acc

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   m1 g sin19    -   u1 m1 gcos19   + m2 g sin19 - u2 m2 gcos19 = (m1 + m2) a

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plug in numbers and solve for a, the acceleration:

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0.25 * 9.8 * sin19 - 0.1 * 0.25 * 9.8 *cos19 + 0.7 * 9.8 * sin19 - 0.5 * 0.7*9.8*cos19 =(0.25+0.7) a

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-0.44373 = 0.95 a

.

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