67 ### Problem Statement**System Components:**- 30-kg disk- 12-kg slender rod \(AB\) - 5-kg smooth collar \(A\)**Objective:**Determine the velocity of the collar \(A\) at the instant when \(\theta = 0^\circ\), given that the disk rolls without slipping and the system is released from rest when \(\theta = 45^\circ\).**Initial Conditions & Constraints:**- The system is released from rest with \(\theta = 45^\circ\).- The disk rolls without slipping.- The initial angle of the inclined plane is \(30^\circ\). ### Diagram AnalysisThe diagram depicts a mechanical system consisting of three main components:1. **Disk (B):** - Mass: 30 kg - Radius: 0.5 m2. **Slender Rod (BA):** - Mass: 12 kg - Length: 2 m - Attached at point \(B\), and the other end is connected to a smooth collar \(A\).3. **Smooth Collar (A):** - Mass: 5 kg - Moves along an inclined plane making an angle of \(30^\circ\) with the horizontal.**Notable Points on the Diagram:**- \(\theta\) represents the angle between the vertical axis and the rod BA. This angle changes dynamically as the system evolves.- Initially, \(\theta = 45^\circ\).### TaskCalculate the velocity of collar \(A\) precisely when \(\theta = 0^\circ\). This involves utilizing principles of dynamics, energy conservation, and kinematics, accounting for rolling without slipping of the disk.

Given data as per the question Mass of disk =30 kg Mass of the collar =5 kg considering the given…

18-67. The system consists of a 30-kg disk, 12-kg slender rod BA, and a 5-kg smooth collar A. If the disk rolls without slipping, determine the velocity of the collar at the instant = 0°. The system is released from rest when 0 = 45°. A 2m B 0.5 m C 30°

18-67. The system consists of a 30-kg disk, 12-kg slender rod BA, and a 5-kg smooth collar A. If the disk rolls without slipping, determine the velocity of the collar at the instant = 0°. The system is released from rest when 0 = 45°. A 2m B 0.5 m C 30°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Chill zone consist of smallest equiaxed grains due to low temperature difference between melted metals and mold. A True B False
072512233658 B non exact
التاريخ - the state of elanestress at afointis represented by the stresselement belaw 0lfind thestresses on anelement Tnclined at Kô clockwise and drawithe Carresfondfngstresselement. 全 3oM Pa
What manufacturing processes do you think were applied? Or what information be needed about the fabrication of this piece?
32. Fine-grained materials have stress-hardening properties. a. True b. False
t² + 9 – 3 lim
The system shown is in static equilibrium and motionless. Consider the 10 kN force as "the load" on the system. • The coefficient of static friction at a rope/shaft interface is 0.25. • The coefficient of kinetic friction at a rope/shaft interface is 0.16. NOTE: • Submitted responses shall be to 4 significant figures. Do NOT use scientific notation. Find: 8. The angle of wrap around the upper-left shaft is 9. The angle of wrap around the lower-right shaft is 10. The maximum magnitude of the force P that will not initiate upward motion of the load is rad. _kN. 11. The minimum magnitude of the force P that will not initiate downward motion of the load is _kN.
What are the four constants?
17 Bending causes increase in the thickness of the sheet metal. Select one: True False
This refers to the ratio of tensile stress to tensile strain O Bulk Modulus of Elasticity O All of these O Shear Modulus of Rigidity O Young's Modulus of elasticity
A simple truss is subjected to 20 kN force at point A as shown in Figure 2. The reaction force at point C is (in kN) Figure 2: 5 m 5 m A 5 m 20 kN