Two forces F 1 and F 2 act along the two sides of an equilateral triangle as shown in Figure P11.5. Point O is the intersection of the altitudes of the triangle. (a) Find the magnitude of a third force F3 to be applied at Band along BC that will make the total torque zero about the point O. (b) What If? Will the total torque change if F 3 is applied not at B but at any other point along BC? Figure P11.5 B
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).
Two forces and act along the two sides of an equilateral triangle as shown in Figure. Point O is the intersection of the altitudes of the triangle. (a) Find the magnitude of a third force to be applied at B and along BC that will make the total torque zero about the point O. (b) What If? Will the total torque change if is applied not at B but at any other point along BC?
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