The assembly consists of two 25-kg bars which are pin connected. The bars are released from rest when 0 = 60°. The 5-kg disk at C has a radius of 0.5 m and rolls without slipping. (Figure 1) Part A Determine the angular velocity of the bar AB at the instant 0 = 30° , measured clockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. VO AZO It vec ? WAB = rad/s Submit Request Answer Part B Figure < 1 of 1> Determine the angular velocity of the bar BC at the instant 0 = 30° , measured counterclockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
![**Problem Description:**
The assembly consists of two 25-kg bars that are pin-connected. The system is released from rest when the angle \( \theta = 60^\circ \). A 5-kg disk at point \( C \) has a radius of 0.5 m and rolls without slipping.
**Figure 1 Explanation:**
The diagram shows a mechanical assembly with two connected bars, \( AB \) and \( BC \), each 3 meters long, forming a V-shape with a pivot at point \( B \). The angle \( \theta \) is indicated between the horizontal ground and each bar. The disk is situated at point \( C \), and it is in contact with the ground.
**Part A:**
Determine the angular velocity of bar \( AB \) at the instant \( \theta = 30^\circ \), measured clockwise.
- **Response Instruction:**
Express the angular velocity \( \omega_{AB} \) using three significant figures. Enter a positive value if the angular velocity is clockwise and a negative value if it is counterclockwise.
**Input Box:**
\[ \omega_{AB} = \text{_____} \, \text{rad/s} \]
**Part B:**
Determine the angular velocity of bar \( BC \) at the instant \( \theta = 30^\circ \), measured counterclockwise.
- **Response Instruction:**
Express the angular velocity \( \omega_{BC} \) using three significant figures. Enter a positive value if the angular velocity is counterclockwise and a negative value if it is clockwise.
**Input Box:**
\[ \omega_{BC} = \text{_____} \, \text{rad/s} \]
**Submission Option:**
Both parts include a "Submit" button for entering and checking answers. There is also a "Request Answer" option available.
This setup is designed to aid in understanding the principles of rotational dynamics, specifically focusing on angular velocity in a pin-connected assembly with a rolling disk.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc846a080-c87d-4490-a2a5-bc99fd5c8d6b%2F7769ebaa-ed9f-4f4a-ac5b-8e67e6ef0aa4%2Fm8zqvqd_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
