How Does a Rod's Angular Velocity Relate to Its Movement in the X-Y Plane?

  • Thread starter suhaskowshik_92
  • Start date
  • Tags
    Plane Rod
In summary, a rod of length 2m is moving in the horizontal x-y plane with end A at the origin and velocity v_a = 2i + v_y j and end B with velocity v_b = 2i + 6j. The rod is at an angle of 30 degrees with the x-axis. The problem asks for the magnitude of the angular velocity, the value of v_y, and the component of velocity of the centre of mass perpendicular to the rod. An attempt to solve the problem is required.
  • #1
suhaskowshik_92
4
0

Homework Statement



A rod AB of length 2m moves in horizontal x-y plane. at any instant end A of rod is at origin and has velocity v_a =2i +v_y j. the other end B at the same instant is moving with velocity v_b = 2i +6j. the rod makes an angle of 30 degrees with the x-axis at this instant. find:

1. the magnitude of angular velocity of the rod.

2. value of v_y .

3. the component of velocity of cetre of mass in the direction perpendicular to the rod at given instant.
 
Physics news on Phys.org
  • #2
You have to show us an attempt to solve the problem.
 
  • #3
i don't know how to do
 

1. What is a rod moving in the x-y plane?

A rod moving in the x-y plane refers to a physical object that is capable of motion in a two-dimensional space, with the x and y axes representing the horizontal and vertical dimensions, respectively.

2. What causes a rod to move in the x-y plane?

A rod can be moved in the x-y plane by a variety of factors, such as applied forces, gravity, or external influences like friction or air resistance. The specific cause of motion will depend on the situation and the properties of the rod.

3. What is the difference between linear and rotational motion of a rod in the x-y plane?

Linear motion refers to movement along a straight line, while rotational motion refers to movement around a fixed point. A rod moving in the x-y plane can exhibit both types of motion simultaneously, depending on the direction and magnitude of the applied forces.

4. How is the position of a rod in the x-y plane determined?

The position of a rod in the x-y plane can be determined by specifying its coordinates on the x and y axes. This can be done using a variety of methods, such as measuring with a ruler or using mathematical calculations based on the rod's motion and velocity.

5. What factors affect the speed and direction of a rod moving in the x-y plane?

The speed and direction of a rod in the x-y plane can be affected by numerous factors, including the applied forces, the rod's mass and shape, the properties of the surface it is moving on, and any external influences such as air resistance or friction. These factors can also change over time, resulting in changes to the rod's motion.

Similar threads

Find velocities when a mass leaves a system of a rod with two masses
    • Introductory Physics Homework Help
Replies
10
Views
900
Rod on a Plane: Calculating Angular and Linear Motion After Impact"
    • Introductory Physics Homework Help
2
Replies
38
Views
2K
Freely hinged rods on a table - Linear velocities of CM after the impulse
    • Introductory Physics Homework Help
Replies
11
Views
2K
The Magnitude of Induced EMF in a Moving Rod?
    • Introductory Physics Homework Help
Replies
8
Views
3K
Calculate the relative angular velocity
    • Introductory Physics Homework Help
Replies
2
Views
2K
Conservation of angular momentum
    • Introductory Physics Homework Help
Replies
22
Views
3K
Rings on a rod: angular momentum conceptual question
    • Introductory Physics Homework Help
Replies
2
Views
3K
Sign Convention for Angular Acceleration in Rotational Motion
    • Introductory Physics Homework Help
Replies
15
Views
1K
Rotating uniform rod about an arbitrary axis
    • Introductory Physics Homework Help
Replies
24
Views
3K
How Does Mass and Speed Affect the Circular Motion of a Rod with Attached Putty?
    • Introductory Physics Homework Help
Replies
9
Views
1K

Hot Threads

Recent Insights

Back
Top