Problem 2: Equivalent force with no moment vector For an object shown in the figure below, a force and moment vector act at point A. The force is F= 20 [N]i + 15 [N]j and the moment is M, = 10 (Nm) k. Find a point on the object such that the equivalent system at that point consists of only a force (zero moment vector). Hint: Place the origin of you coordinate system at point A. The answer is going to be that the force can act on any point along a line.
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).
![Problem 2: Equivalent force with no moment vector
For an object shown in the figure below, a force and moment vector act at point A. The force is F= 20 [N]i + 15 [N]j and the
moment is M, = 10 (Nm) k. Find a point on the object such that the equivalent system at that point consists of only a force (zero
moment vector).
Hint: Place the origin of you coordinate system at point A. The answer is going to be that the force can act on any point along a
line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b91d6b7-082e-4dfb-aa97-164e60149f3b%2Ff085e6e6-77de-4664-aac4-3b411c23f86d%2Feik5dc.jpeg&w=3840&q=75)
The term moment is defined as the measure of the ability to cause an object to rotate about a given specific point. Mathematically, it is the product of force and perpendicular distance. The standard unit to measure the moment is Newton meter.
Step by step
Solved in 2 steps
