**Problem Statement for Educational Website**---**Topic: Elastic Energy in Rotational Systems****Scenario:**The given data corresponds to questions 12, 13, and 14. We have an 8-kg slender bar AB that is initially horizontal and at rest. A spring is attached to the bar. The spring has an unstretched length (\(s_0\)) of 1 meter and a spring constant (\(k\)) of 15 N/m. The entire length of the bar AB (\(l\)) is 1.5 meters.**Objective:**Determine the elastic energy stored in the spring once the bar has rotated by an angle \(\theta = 45^\circ\) clockwise from its initial position. The answer should be rounded to two decimal places.**Diagram Description:**A diagram illustrates the setup:- The bar \(AB\) is extended horizontally with point \(A\) attached to a fixed wall.- Point \(B\) is connected to a spring, which is anchored vertically above point \(B\).- The spring is shown in a vertical orientation, with its natural length labeled as \(s_0\).- The spring is extended or compressed as the bar rotates, indicated by a change in its length in the diagram.**Problem Solving Approach:**To find the elastic energy, use the formula for elastic potential energy in a spring:\[ Ee = \frac{1}{2} k (s - s_0)^2 \]Where \(s\) is the new length of the spring after rotation. Calculate \(s\) using the components of the motion as the bar rotates \(45^\circ\).---This explanation is structured to guide students through understanding the problem setup, objectives, and steps necessary to solve for the elastic energy within a physical rotational system.

The elastic potential energy of spring: The potential energy stored by stretching or compressing an…

Those data are forquestions 12.13& 14. The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length so of 1 m and a spring constant of 15 N/m. the length of the bar AB is l-1.5m Find the elastic energy due to the spring when the bar has rotate clockwise 0 - 45° after being released. Give your answer with 2 decimals.

Those data are forquestions 12.13& 14. The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length so of 1 m and a spring constant of 15 N/m. the length of the bar AB is l-1.5m Find the elastic energy due to the spring when the bar has rotate clockwise 0 - 45° after being released. Give your answer with 2 decimals.

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

Determine the equivalent spring stiffness constant of the following spring in series and parallel. 250 N/m 175 N/m ww 80 N/m F
Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. F=30N b=1.7m a=0.8 m Unique Values for Each Student: C F a www B k b www
A 25-kg block hangs from a spring attached to the ceiling of the elevator. If spring gets stretched by 0.15 m, find its spring constant.
Please answer with a complete solution. Thank you! Find the distance x (measured along AB) at which a horizontal force of 60 lb should be applied to hold the uniform bar AB in the position shown. Bar AB is 10 ft long and weighs 140 lb. The incline and the floor are smooth. NOTE: The answer should be x=3.33 ft.
The right end of a horizontal beam of mass 4kg and length 3.3m is fixed to a wall by a hinge. The left end is held by a rope making an angle of 25.2 degrees with the horizontal. At the left end, a block of mass 9.3 kg is suspended.Determine the modulus and orientation of the force exerted by the hinge on the beam. Express with an x+ axis which is to the right.
The length of the spring AB before it is deformed is 3m. What should be the value of the weight to be suspended from point D in order to maintain balance. (I am trying so hard for this problem but I couldn't handle it . Please help me .)
The crate weighing 100kg is balanced as shown in the figure. Find the tensile strength on each wire to maintain this state. (Considering Cartesian coordinates). I have been trying so long for this question and I couldn't solve it . Please help me.
1) Determine the reaction at roller A. Express your answer to three significant figures and include the appropriate units. 2) Determine the horizontal and vertical components of reaction at pin B( Bx,By) . Express your answers in newtons to three significant figures separated by a comma.
Determine the equivalent spring stiffness constant of the following spring in series and parallel. 60 N/m 90 N/m wwwm 120 N/m 150 N/m 30 N/m www 300 N/m F
4. Solve for the tension in the cable. p=0.20 300 lb 200 Ib
The dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.
For the spring assemblages shown in Figures 2, determine the node Displacements, the forces in each element, and the reactions. Use the direct stiffness Method for all problems. 5uu KN/ m 33 3 Suo KN/M Suo EN/m 3. てドN Fig 2