A bicycle wheel is mounted on the wall so that it can spin frictionlessly along a horizontal axle that passes through its center. A ladybug with mass m₁ 1.4 g lands on the rim of the wheel, a distance r₁ 31 cm from the center of - the wheel and at an angle 01: 75° clockwise from the top of the wheel. At the same moment, a bumble bee lands on one of the spokes, a distance r₂ 15 cm from the center of the wheel and at an angle 02 = 12° counterclockwise from the top of the wheel. Suppose that you keep the wheel stationary by applying a horizontal force F = 0.013 N to the bottom of the rim of the wheel (i.e., the same distance from the center as the ladybug). What is the mass m2 of the bumble bee? The symbolic answer should be stated in terms of m1, r1, 01, T2, 02, F, and g, though not all of these quantities may be needed.

A bicycle wheel is mounted on the wall so that it can spin frictionlessly along a horizontal axle that passes through its center. A ladybug with mass m₁ 1.4 g lands on the rim of the wheel, a distance r₁ 31 cm from the center of - the wheel and at an angle 01: 75° clockwise from the top of the wheel. At the same moment, a bumble bee lands on one of the spokes, a distance r₂ 15 cm from the center of the wheel and at an angle 02 = 12° counterclockwise from the top of the wheel. Suppose that you keep the wheel stationary by applying a horizontal force F = 0.013 N to the bottom of the rim of the wheel (i.e., the same distance from the center as the ladybug). What is the mass m2 of the bumble bee? The symbolic answer should be stated in terms of m1, r1, 01, T2, 02, F, and g, though not all of these quantities may be needed.