Constants Periodic Table An Atwood machine consists of two masses, mA-7.0 kg and

Question

Constants Periodic Table An Atwood machine consists of two masses, mA-7.0 kg and mB 8.3 kg, connected by a cord that passes over a pulley free to rotate about a fixed axis. The pulley is a solid cylinder of radius Ro 0.40 m and mass 0.80 kg Part A Determine the magnitude of the acceleration a of each mass. Express your answer using two significant figures. as m/s2 Submit Request Answer - Part B What percentage of error in a would be made if the moment of inertia of the pulley were gnored? Ignore friction in the pulley bearings Express your answer using two significant figures. Error " % So Request Answer Submit

Explanation / Answer

(A) Applying F_net = m a

8.3g - T1 = 8.3a ..... (i)

and T2 - 7g = 7 a ..... (ii)

Net torque = I alpha

R( T1 - T2) = (0.80 R^2 / 2)(a/R)

T1 - T2 = 0.40 a .... (iii)

(i) +(ii) + (iii) =>

  
8.3g - 7g = (8.3 + 7 + 0.40) a

a = 0.81 m/s^2

(B) if pullye is ignored then T1= T2

so (i) + (ii) => 8.3g - 7g = (8.3 + 7) a

a = 0.83 m/s^2

%error = ((0.83 - 0.81)/(0.81)) x 100

= 2.7 %

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L = r x p

L = (2.7j + 4.2k) x (1(7.2i + 6j))

L = - 19.44 k + 30.24j - 25.2 i

(A) - 25.2 , 30.24, - 19.44  

(B) torque= r x F

= (2.7j + 4.2k) x (4.7 i)

= - 12.7 k + 19.7 j

Ans: 0, 19.7, - 12.7  

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