Problem 1 A fireman sits on the top step of a ladder, which is assumed to be massless. He can be considered as a point mass m on the end of the ladder. The ladder is rotated up by a driving torque at the point x = 0 and simultaneously extended with the constant velocity v,et. The ladder has the length r(t) at time t. The motion occurs under the influence of gravity. Given: m; vrel = const. ; p ; ġ ; ë ; r; g Find: 1. By using the polar coordinates system, determine the inertial forces (d'Alembert's forces) acting on the fireman

Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
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Problem 1
A fireman sits on the top step of a ladder, which is assumed to be massless. He can be considered as a
point mass m on the end of the ladder. The ladder is rotated up by a driving torque at the point x = 0
and simultaneously extended with the constant velocity v,ej. The ladder has the length r(t) at time t.
The motion occurs under the influence of gravity.
Given:
m; vret = const. ; p ; ở ; ö ; r; g
Find:
1. By using the polar coordinates system, determine the inertial forces (d'Alembert's
forces) acting on the fireman
2. Determine the internal forces (L(x), Q(x), M(x)) in the ladder during the motion as a
function of , o, ở and x.
m.
Vrel
r(t)
Driving
Torque
Transcribed Image Text:Problem 1 A fireman sits on the top step of a ladder, which is assumed to be massless. He can be considered as a point mass m on the end of the ladder. The ladder is rotated up by a driving torque at the point x = 0 and simultaneously extended with the constant velocity v,ej. The ladder has the length r(t) at time t. The motion occurs under the influence of gravity. Given: m; vret = const. ; p ; ở ; ö ; r; g Find: 1. By using the polar coordinates system, determine the inertial forces (d'Alembert's forces) acting on the fireman 2. Determine the internal forces (L(x), Q(x), M(x)) in the ladder during the motion as a function of , o, ở and x. m. Vrel r(t) Driving Torque
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