A particle P of mass m = 3 kg arrives at point O with a horizontal velocity and starts rolling down a circle with radius R = 3.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 60 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {î, îy} be a fixed reference frame as shown in the figure and let B = {b₁, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A particle P of mass m = 3 kg arrives at point O with a horizontal velocity vo and starts rolling
down a circle with radius R = 3.5 m. The particle is attached to the point O by means of a linear
spring of stiffness k = 60 N/m that is unstretched when the particle is at O. Assume that during the
motion of P along the circle, the spring follows the circle. Let N = {î, îy} be a fixed reference
frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that ba
is tangent to the circular path and by is perpendicular to the circular path. For convenience, take
g = 10 m/s² in this question.
ny
nx
IP
Transcribed Image Text:A particle P of mass m = 3 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 3.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 60 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {î, îy} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that ba is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. ny nx IP
Draw a Free Body Diagram of the particle, clearly indicating all forces acting on the particle, and
use the Free Body Diagram to determine the equation(s) of motion of the particle.
Transcribed Image Text:Draw a Free Body Diagram of the particle, clearly indicating all forces acting on the particle, and use the Free Body Diagram to determine the equation(s) of motion of the particle.
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