What is the condition for rolling without slipping?
Practice Questions
1 question
Q1
What is the condition for rolling without slipping?
v = Rω
v = 2Rω
v = 0
v = R^2ω
The condition for rolling without slipping is that the linear velocity v of the center of mass is equal to the product of the radius R and the angular velocity ω, i.e., v = Rω.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the condition for rolling without slipping?
Solution: The condition for rolling without slipping is that the linear velocity v of the center of mass is equal to the product of the radius R and the angular velocity ω, i.e., v = Rω.
Steps: 7
Step 1: Understand that 'rolling without slipping' means that the object rolls on a surface without sliding.
Step 2: Identify the center of mass of the rolling object, which is the point where its mass is evenly distributed.
Step 3: Know that 'linear velocity' (v) is how fast the center of mass is moving in a straight line.
Step 4: Recognize that 'angular velocity' (ω) is how fast the object is rotating around its center.
Step 5: Remember that the radius (R) is the distance from the center of the object to its edge.
Step 6: The condition for rolling without slipping is that the linear velocity (v) of the center of mass equals the radius (R) multiplied by the angular velocity (ω).
