As shown in the figure below, a bicycle wheel is at rest against a curb. If the wheel has a radius R, mass M, and is at rest against a curb of height h = 0.585R, determine the minimum horizontal force F (in terms of M and g) that must be applied to the axle to make the wheel start to rise up over the step. (Do not substitute numerical values; use variables only.) F= 2.19 Determine a convenient point about which to determine the torques. Since we need to determine the torque, before starting the problem, see if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance between the line of action of this force and the point about which we are determining the torques. See if you can apply the condition for rotational equilibrium that will allow you to determine the force F in terms of known quantities. Some basic trigonometry might be needed in order to determine all distances needed. M Additional Materials
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
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