Number 88. xProblems and Conceptual Exe x cv3oss8o0?deeplink-true&platforms;, id
ID: 1583271 • Letter: N
Question
Number 88.
xProblems and Conceptual Exe x cv3oss8o0?deeplink-true&platforms;, id-masteringäidpName-SMS&contextld-MARNw20188smsUser; 37 PEARSON Rotational Dynamics and Static Equilibrium > Problems and Conceptual Exercises A 0.101-kg yo-yo has an outer radius R that is 5.60 times greater than the radius r of its axle. The yo-yo is in equilibrium if a mass m is suspended from its outer edge, as shown in Figure 11-660. Find the tension in the two strings, T and T, and the mass m. 88. Figure 11-66 Problem 88 89. BIO Peak Pedaling Torque The downward force produced by the quadriceps muscles during the power stroke of bicycle-pedaling motion is shown in Figure 11-Explanation / Answer
In equilibrium net force = 0
for mass m
Fnet = 0
T2 - m*g = 0
T2 = m*g..........................(1)
for Yo - Yo of mass M = 0.101 kg
Fnet = 0
T1 - T2 - M*g = 0
T2 = T1 - Mg ..............(2)
the Yo - Yo is in rotational equilibrium
net torque = 0
T1*r - T2*R = 0
T1*r = T2*R ..........(3)
using 2 in 3
T1*r = (T1-Mg)*R
M*g*R = T1*R - T1*r
T1*(R-r) = R*M*g
T1 = R*M*g/(R-r)
R = 5.6*r
M = mass of Yo Yo = 0.101 kg
T1 = 0.101*9.8*5.6/(5.6 - 1)
tension T1 = 1.205 N <<<<----------ANSWER
tension T2 = T1 - Mg = 1.205-(0.101*9.8) = 0.215 N <<<<----------ANSWER
from 1
T2 = m*g
hanging mass , m = T2/g = 0.215/9.8 = 0.219 kg <<<<----------ANSWER
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