Analyzing a Pivoted Light Rod with Concentrated Masses

  • Thread starter Thread starter The Futur
  • Start date Start date
  • Tags Tags
    Light Rod
Click For Summary
SUMMARY

The discussion focuses on analyzing a pivoted light rod with concentrated masses at each end, specifically addressing the calculation of the moment of inertia, torque, tension in the cord, and angular velocity after a set time. The rod has a mass of 0.6 kg at each end, located 0.3 m from the pivot, and experiences an angular acceleration of 5 rad/s². The diameter of the spindle is 50 mm, which is crucial for torque calculations. Participants emphasize the need to apply relevant equations and show work for verification.

PREREQUISITES
  • Understanding of rotational dynamics
  • Knowledge of moment of inertia calculations
  • Familiarity with torque equations
  • Basic principles of angular motion
NEXT STEPS
  • Study the formula for moment of inertia of point masses: I = Σ(m * r²)
  • Learn how to calculate torque using τ = I * α
  • Research the relationship between tension and angular acceleration in rotational systems
  • Explore angular velocity calculations using ω = ω₀ + αt
USEFUL FOR

Students in physics or engineering courses, particularly those studying mechanics, as well as educators seeking to explain concepts of rotational dynamics and torque analysis.

The Futur
Messages
17
Reaction score
0

Homework Statement




(b) Fig. Q.5 shows a light rod pivoted at its centre. There are concentrated masses of 0.6 kg located at each end, 0.3 m from the centre of rotation The rod is rotated by a falling mass suspended from a cord wrapped around the centre spindle of diameter 50 mm. If the rod and masses have an angular acceleration of 5 rad/s2,

Determine:

(i) The moment of inertia of the assembly, neglecting that of rod and spindle

(ii) The torque on the spindle (assuming friction torque is negligible)

(iii) The tension in the cord

(iv) The angular velocity 5 seconds after release of the mass

I attached the fig5

NB: i don't want the answers i just need, some one to explain me how to do it. and witch formula i need to use.
 

Attachments

  • fig q.5.png
    fig q.5.png
    2.6 KB · Views: 469
Physics news on Phys.org
The Futur: You deleted two important parts of the required template. The PF rules state, you must list relevant equations yourself, and you must show your work. Then someone might check your math.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 43 ·
2
Replies
43
Views
6K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
1
Views
2K
Replies
11
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
15
Views
3K
Replies
8
Views
3K