Question

A yo-yo of mass - 0.145 kg and outer radius R that is 3.75 times greater than the radius of its axler is in equilibrium if a mass mis suspended from its outer edge as shown in the figure below. Determine the tension in the two strings, T, and T, and the mass m. 0.0527 X Since the yo-yo is in static equilibrium, we expect to use the first and second conditions of equilibrium. Also since we have three unknowns, we should expect to develop three equations which may T be solved simultaneously to obtain the three unknowns. Sincem is in translational equilibrium, see if you can write a first condition of equilibrium statement that relates m to T. Since the yo-yo is - in rotational equilibrium, see if you can write a second condition of equilibrium statement that relates T, and T. Finally, since the yo-yo is also in translational equilibrium, see if you can write a first condition of equilibrium statement that relates M. Ty, and Ty. These three statements amount to three equations in terms of the three unknowns. See if you can manipulate these three equations in order to determine the tension TN 0.517 N 1.93746 X Now that we know the tension T, from the second response to the problem, see if you can write a first condition of equilibrium statement for the vertical forces that will allow you to determine the mass m kg

Answer 1

Solution м - б• 1чѕtа- Inner radius 에 the axle alla um Addrщw R {-}• fo - 3 элд The difference in felia is Torta = Mg 0 for the Yo-Yo to be in a state of Equilibrium, the net Torque Ті яг - f, L 2. Эsia) - T2 = Mg. from Equation (2) 1 11- 3. 251, The difference in fereasts 3.-Т. -Т.: 1 Т.. м2 D. TчгX4:gІ. 2. - 0:1 +9 2-25 The tension (1) = 3.75%0.512 1, 434 м The Mass n anached to the own edge is given by f - м3 ; м 2.2. б. 512 15) е b.bs 220 с 52 •• г