Three uniform sticks, each of mass m, are placed on the floor as follows: stick 1 lies along the y axis from y = 0 to y = 3.0 m , stick 2 lies along the x axis from x = 0 to x = 3.0 m , stick 3 lies along the x axis from x = 3.0 m to x =6.0 m . Find the x -coordinate of the center of mass of the sticks. Find the y -coordinate of the center of mass of the sticks. How would the location of the center of mass be affected if the mass of the sticks were doubled?
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).
Three uniform sticks, each of mass m, are placed on the floor as follows: stick 1 lies along the y axis from y = 0 to y = 3.0 m , stick 2 lies along the x axis from x = 0 to x = 3.0 m , stick 3 lies along the x axis from x = 3.0 m to x =6.0 m .
- Find the x -coordinate of the center of mass of the sticks.
- Find the y -coordinate of the center of mass of the sticks.
- How would the location of the center of mass be affected if the mass of the sticks were doubled?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
