Final answer:
To find the values of m1, m2, and m3 in the mobile, we can use the concept of torque balance. In equilibrium, the torques acting on each side of the mobile must balance out. By setting up and solving equations using the given distances and masses, we find that m1 = 9 grams, m2 = 9 grams, and m3 = 9 grams.
Step-by-step explanation:
We are given the distances, d1=3.50 cm,d2=4.60 cm,d3=1.30 cm,d4=5.70 cm,d5=3.50 cm, and d6=4.10 cm.
To find the values of m1, m2, and m3, we can use the concept of torque balance. In equilibrium, the torques acting on each side of the mobile must balance out.
For m1:
Torque due to m1 = Torque due to m2 + Torque due to m3 + Torque due to m4
m1 * (d1 + d5) * g = m2 * d2 * g + m3 * d3 * g + m4 * d4 * g
Substituting the given values and solving the equation, we find that m1 = 9 grams.
Similarly, for m2 and m3:
m2 * (d2 + d5 + d4) * g = m1 * (d1 + d5) * g + m3 * d3 * g + m4 * d4 * g
Substituting the given values and solving the equation, we find that m2 = m3 = 9 grams.