Mechanics velocity of disc question

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SUMMARY

The discussion centers on calculating the velocity of point A on a disc rolling without sliding on a curved surface. The final velocity is determined to be 1.69 m/s, directed at an angle of 45 degrees upwards. The formula used is v = ωR, where ω is the angular velocity of 10 rad/s and R is the radius of 40 mm. Vector addition is suggested for analyzing the relative velocities between the disc-arm and the arm-earth.

PREREQUISITES
  • Understanding of angular velocity and its application in rotational motion.
  • Familiarity with the formula v = ωR for linear velocity calculation.
  • Basic knowledge of vector addition in physics.
  • Concept of rolling motion without slipping.
NEXT STEPS
  • Study the principles of rolling motion and the conditions for no slipping.
  • Learn about vector addition and its application in physics problems.
  • Explore angular velocity and its relationship with linear velocity in different contexts.
  • Investigate the effects of different radii on the velocity of points on a rolling disc.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators looking for examples of rolling motion problems.

themster
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Homework Statement


The disc rolls without sliding on the curved surface. What is the velocity of point A attached to the disc?
Ans: 1.69 m/s, directed at 45o upwards.


Homework Equations


v=ωR


The Attempt at a Solution


v=ωR = 10rad/s * 40mm
 

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hi themster! :wink:

use vector addition for the relative velocities (disc-arm and arm-earth) …

show us what you get :smile:
 

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