Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A spring lift (I)
context
You are working on a prototype spring lift. A block is placed at the end of a compressed spring (without being attached to it). The mechanism is triggered, which propels the block up the ramp, towards a roller conveyor. You want to start by testing the effect of the spring. Before stopping, what total distance (from its initial position) will the block travel?
Information
The mass of the block is known.
The block is initially at rest.
The angle of inclination of the ramp is known.
There is friction between the block and the ramp: the kinetic coefficient of friction is known.
The spring constant is known.
The initial compression of the spring is known.
Schematization
Represents the initial and final states of the system, identifying an upward y+ axis for the block.
Modelization
Create a model for the distance travelled by the block, based on known parameters only.
Then test your model with the following values:
Block mass: 10.2 kg
Ramp tilt angle: 11 degrees
Kinetic coefficient of friction: 0.1
Spring constant (k): 673 N/m
Initial spring compression: 0.75 m
Step by step
Solved in 3 steps with 1 images
