A bicycle is lifted off the ground and placed on a stand so that maintenance can be performed. This allows the front wheel to spin freely along its axle. The wheel has a reflector (m₁ 40 g) located R₁ = 25 cm radially outward from the center. There is also a pebble with mass m₂ stuck in the tire treads and located R₂ = 33 cm radially outward from the center. The wheel is rotated until it reaches a position of equilibrium; at this moment the reflector is located at the 5 o'clock position, and the pebble is located at the 9 o'clock position. What is the mass m₂ of the pebble?

A bicycle is lifted off the ground and placed on a stand so that maintenance can be performed. This allows the front wheel to spin freely along its axle. The wheel has a reflector (m₁ 40 g) located R₁ = 25 cm radially outward from the center. There is also a pebble with mass m₂ stuck in the tire treads and located R₂ = 33 cm radially outward from the center. The wheel is rotated until it reaches a position of equilibrium; at this moment the reflector is located at the 5 o'clock position, and the pebble is located at the 9 o'clock position. What is the mass m₂ of the pebble?