Solving Center of Mass Prob: Stick Length 0.25m, Mass 0.53kg

Click For Summary
SUMMARY

The discussion focuses on solving a physics problem involving a stick of length 0.25 m and mass 0.53 kg thrown vertically. The stick completes 33 revolutions while its center of mass rises to its highest point, with gravity acting at 9.8 m/s². Key insights include expressing angular speed (ω) in relation to the time taken to reach the peak and understanding the relationship between the center of mass speed and angular speed using the formula V = ωR. These principles are crucial for determining the time required for the center of mass to ascend.

PREREQUISITES
  • Understanding of angular motion and angular speed (ω)
  • Familiarity with the relationship between linear and angular velocity (V = ωR)
  • Knowledge of kinematic equations for accelerated motion
  • Basic concepts of center of mass in rigid bodies
NEXT STEPS
  • Study the derivation of angular motion equations in physics
  • Learn about the dynamics of rigid body rotation
  • Explore kinematic equations for uniformly accelerated motion
  • Investigate the concept of center of mass in various shapes and configurations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators seeking to enhance their understanding of angular motion concepts.

SsUeSbIaEs
Messages
17
Reaction score
0
Can someone please help me with this problem, a hint, anything something?

A girl throws a stick with a length of 0:25 m
and a mass of 0.53 kg into the air in such a
way that the center of mass rises vertically.
At the moment it leaves her hand, the stick
is horizontal and the speed of the end of the
stick nearest to her is zero. When the center
of mass of the stick reaches its highest point,
the stick is horizontal, and it has made 33
complete revolutions. Assume that the stick's
cross sectional area and mass is uniform.
The acceleration of gravity is 9.8 m/s^2 (speed of stick end
is zero when it leaves her hand)
How long did it take for the center of mass
to reach its highest point? Answer in units of
s.
 
Physics news on Phys.org
Originally posted by SsUeSbIaEs
Can someone please help me with this problem, a hint, anything something?
Realize that you can express the angular speed ω of the stick in terms of the time it takes to get to the top, which is what you are trying to find. Also realize that at the moment the stick is released, the speed of the center of mass is related to the angular speed of the stick: V=ωR. Then apply what you (I hope) know about accelerated motion.
 
Thanks that helped a lot!
 

Similar threads

Finding the center of mass of a system
  • · Replies 5 ·
Replies
5
Views
4K
Rotational Mechanics: Find Height of Stick in N Turns
  • · Replies 8 ·
Replies
8
Views
2K
Determine the location of her center of mass
  • · Replies 5 ·
Replies
5
Views
5K
What is the torque on the right side of the stick when the center is at 50cm?
  • · Replies 11 ·
Replies
11
Views
3K
Center of mass on plank problem
  • · Replies 3 ·
Replies
3
Views
6K
Solving Stick Thrown in Air with Initial Condition
  • · Replies 4 ·
Replies
4
Views
2K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
Elastic Collision between a Ball and a Stick
  • · Replies 7 ·
Replies
7
Views
5K
Solving the Stick of the Gods: Mass, Center of Mass & Moments of Inertia
  • · Replies 8 ·
Replies
8
Views
3K
How Is the Center of Mass Calculated in a Balancing Torque Problem?
  • · Replies 16 ·
Replies
16
Views
11K