6. An object of mass m, = 0.420 kg is hung from a rope passing through a hollow cylinder shaped pulley and connected to mass m,= 0.850 kg as shown in Figure 3. The pulley has mass M = 0.350 kg and radii R,= 2.00 cm y R,= 3.00 cm, the coefficient of kinetic friction between the block m,and the horizontal surface is uk = 0.250. The rope joining the objects is light and does not slip on the pulley. The block m „has an initial speed v,= 0.820 m/s as it passes a reference point moving towards the pulley. Under these conditions find: R2 R Figure 3. Problem diagram 6 A. Make a diagram of forces on the masses m, y m,and a diagram of torques on the pulley. N2. Tz A.) FB.D of masses and pulley Torques on pulley B. Find (but do not solve) the equations we would obtain from the sum of forces on the masses m, y m, sum of torques on the pulley and rolling condition, identifying the number of equations available and the number of unknowns.

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6. An object of mass m, = 0.420 kg is hung from a rope passing through a hollow cylinder
shaped pulley and connected to mass m,= 0.850 kg as shown in Figure 3. The pulley has mass
M = 0.350 kg and radii R,= 2.00 cm y R,= 3.00 cm, the coefficient of kinetic friction between
the block m,and the horizontal surface is uk = 0.250. The rope joining the objects is light and
does not slip on the pulley. The block m „has an initial speed v= 0.820 m/s as it passes a
reference point moving towards the pulley. Under these conditions find:
R2
R
1
m2
Figure 3. Problem diagram 6
A. Make a diagram of forces on the masses m, y m,and a diagram of torques on the pulley.
N2
Tz
A.)
FB.D of masses
and pulley
T,
mig
Torques
on þeelley
B. Find (but do not solve) the equations we would obtain from the sum of forces on the
masses m, y m,, sum of torques on the pulley and rolling condition, identifying the
number of equations available and the number of unknowns.
Transcribed Image Text:6. An object of mass m, = 0.420 kg is hung from a rope passing through a hollow cylinder shaped pulley and connected to mass m,= 0.850 kg as shown in Figure 3. The pulley has mass M = 0.350 kg and radii R,= 2.00 cm y R,= 3.00 cm, the coefficient of kinetic friction between the block m,and the horizontal surface is uk = 0.250. The rope joining the objects is light and does not slip on the pulley. The block m „has an initial speed v= 0.820 m/s as it passes a reference point moving towards the pulley. Under these conditions find: R2 R 1 m2 Figure 3. Problem diagram 6 A. Make a diagram of forces on the masses m, y m,and a diagram of torques on the pulley. N2 Tz A.) FB.D of masses and pulley T, mig Torques on þeelley B. Find (but do not solve) the equations we would obtain from the sum of forces on the masses m, y m,, sum of torques on the pulley and rolling condition, identifying the number of equations available and the number of unknowns.
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