A 0.110 -kg yo-yo has an outer radius, R , that is 5.65 times greater than the r

Question

A0.110-kg yo-yo has an outer radius,R, that is5.65times greater than the radius of its axle. The yo-yo is in equilibrium if a massmis suspended from its outer edge, as shown in the figure below. Find the tension in the two strings,T1andT2and the massm.

T1= N T2= N m= kg A0.110-kg yo-yo has an outer radius,R, that is5.65times greater than the radius of its axle. The yo-yo is in equilibrium if a massmis suspended from its outer edge, as shown in the figure below. Find the tension in the two strings,T1andT2and the massm.

Explanation / Answer

The total weight, (m+0.11) kg, is supported by the inner string, thus T1 = g(m+0.11) N. T2R = T1r, thus T2 = T1r/R = T1/5.65 N. T2 = mg T1 = 5.65T2 = 5.65mg = g(m+0.11)==>5.65m=m+0.11 Then m = 0.11/4.65 = 0.02365 kg T2 = 0.02365g = 0.232 N T1 = g(m+0.11) = 1.31 N.

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