The particle of mass m- 2.3 kg is attached to the end of the light rigid bar of length L - 0.83 m. The system is released from rest while in the horizontal position shown, at which the torsional spring is undeflected. The bar is then observed to rotate 45° before stopping momentarily, (a) Determine the value of the torsional spring constant k;. (b) For this value of kr, determine the speed v of the particle when e - 25°. L Part 1 Position 1 is the horizontal orientation shown in the figure. Position 2 is the orientation when e- 45 Find the kinetic energy in positions 1 and 2. Answers: Answers: (a) ky= Nem/rad (b) v m/s

The particle of mass m- 2.3 kg is attached to the end of the light rigid bar of length L - 0.83 m. The system is released from rest while in the horizontal position shown, at which the torsional spring is undeflected. The bar is then observed to rotate 45° before stopping momentarily, (a) Determine the value of the torsional spring constant k;. (b) For this value of kr, determine the speed v of the particle when e - 25°. L Part 1 Position 1 is the horizontal orientation shown in the figure. Position 2 is the orientation when e- 45 Find the kinetic energy in positions 1 and 2. Answers: Answers: (a) ky= Nem/rad (b) v m/s

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

The particle of mass m = 2.3 kg is attached to the end of the light rigid bar of length L = 0.83 m. The system is released from rest while
in the horizontal position shown, at which the torsional spring is undeflected. The bar is then observed to rotate 45° before stopping
momentarily, (a) Determine the value of the torsional spring constant kr. (b) For this value of kr, determine the speed vof the particle
when e = 25°.
kT
Part 1
Position 1 is the horizontal orientation shown in the figure. Position 2 is the orientation when e- 45. Find the kinetic energy in
positions 1 and 2.
Answers:
T1-
kg m²/s2
T2-
kg m²/s?
Answers:
(a) ky =
i
Nem/rad
(b)
m/s

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