A spring is connected between the 1-kg slider A and the frame. The spring has a stiffness of 5N/m and it is undeformed when x = 0.1m. Knowing that the frame is rotating in the horizontal plane about O at the constant angular speed ˙ θ = 2 rad/s, determine the distance x. Neglect friction

A spring is connected between the 1-kg slider A and the frame. The spring has a stiffness of 5N/m and it is undeformed when x = 0.1m. Knowing that the frame is rotating in the horizontal plane about O at the constant angular speed ˙ θ = 2 rad/s, determine the distance x. Neglect friction

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.86P: Determine the volume of the concrete arch dam.

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Question

A spring is connected between the 1-kg slider A and the frame. The spring has a stiffness of 5N/m and it is undeformed when x = 0.1m. Knowing that the frame is rotating in the horizontal plane about O at the constant angular
speed ˙ θ = 2 rad/s, determine the distance x. Neglect friction.

Expert Solution

Step 1

Given:

Mass of the spring m=1kg

Stiffness of the spring k=5N/m

Undefeformed length =0.1m

angular velocity $ω$ =2rad/s

undeformed when x=0.1m

Solution:

$\begin{array}{rcl} C e n t r i f u g a l f o r c e a c t i n g o n t h e s l i d e r F & = & m ω^{2} r \\ = & 1 \times 2^{2} \times 0.4 \\ = & 1.6 N \end{array}$

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