How to find Translational acceleration in this case

[awaisamin20]

1.consider the following picture in which a honey bee is sitting in a toy. Toy is moving on a plane surface and honey bee is also moving on the toy. Suddenly honey bee starts wing pitching (motion along horizontal axis) but it does not fly. Considering top view of the system under consideration, you are required to find out the the translational acceleration of the wings in the given situation...assume logically if u think something is missing



2. equations of motion can be used here..or simple relations of acceleration and velocity



3. i tried it with different frame of references and using equations of motions..but i get a sea of equations and land no where..please help what shud i do..picture of the problem is attached

 

[Valkarie]

The translational acceleration of the wings in this situation can be determined by considering the motion of the honey bee relative to the toy. Using Newton's second law, we can write the equation of motion for the honey bee as: F = ma where F is the sum of all forces acting on the honey bee, m is its mass and a is its acceleration. Since the honey bee is not flying, the only force acting on it is the force of friction between the honey bee and the toy. Thus, the equation of motion for the honey bee reduces to: Ff= ma where Ff is the force of friction between the honey bee and the toy. Solving this equation for a yields: a = Ff/m Thus, the translational acceleration of the wings in the given situation is equal to the force of friction between the honey bee and the toy divided by the mass of the honey bee.