CentastUs Halliday, Fundamentals of Physics, 10e University Physics (University

Question

CentastUs Halliday, Fundamentals of Physics, 10e University Physics (University Gradebook ORION Downloadable eTextbook ment Chapter 06, Problem 060 In the figure, a box of ant aunts (total mass m -1.78 ko) and a box of ant undes (total mass m2 - 4.44 kg) slide down an indned plane while attached by a massless rod paralel to the plane. The angle of incine is 8-26, The coefficiert of kinctic fnction between the aunt box and the incline is 0.206; that between the unde box and the inciie is u2-0.121. Compute (a) the tension in the rod and (b) the comemon acoeleration of the two baxes (a) Number (b) Number Units Unts pROeLEM Question Attempts: Unlimited sAE FOR LATER

Explanation / Answer

(a) T is the tension in the rod (T / m) is the upward acceleration on m due to T and

(T/ m) is the downward acceleration on m due to T

g (sin – cos ) – (T / m) = (T/ m) + g (sin – cos ) = a

T = m* m ( - ) g (cos ) / (m +m)

T = 1.78*4.44*(0.206-0.121)* 9.8*cos26/(1.78+4.44) = 0.9513 N

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(b)

The net downward acceleration is a = g (sin – cos )

[Where = (m +m)/ (m + m) = [0.206*1.78 +0.121*4.44]/ (4.44+1.78) = 0.145325

a = 9.8* (sin26° – 0.145325 *cos26°) = 3.016 m/s²

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