Homework 5 Problem 13.98 Problem 13.98 Part A Determine the magnitude of the for
ID: 1771436 • Letter: H
Question
Homework 5 Problem 13.98 Problem 13.98 Part A Determine the magnitude of the force of the rod on the particle when =300 Express your answer to three significant figures and include the appropriate units. The particle has a mass of 0.6 kg and is confined to move along the smooth vertical slot due to the rotation of the arm OA. The rod is rotating with a constant angular velocity = 2 rad/s. Assume the particle contacts only one side of the slot at any instant. (Figure 1) FValue Units Submit My Answers Give Up Part B Determine the magnitude of the normal force of the slot on the partido when e=30 Express your answer to three significant figures and include the appropriate units. Figure 11 N- Value Units Submit MyAnswers glytuR e 2 rad/s 0.5 mExplanation / Answer
Given:
wrod = 2 rad/s
t = 30o
m = 0.6 kg
d = 0.5 m
Normal acceleration of the rod (a) = w2*r
a = w2*(d/cos30o)
a = 22*0.57735
a = 2.3094 m/s2
ay = vertical acceleration = a/cos60o
ay = 4.6188 m/s2
Fx:
(Fr*Cos60) – Fn = 0
Fy:
(Fr*Cos30) – mg = may
(Fr*0.866) – 0.6*9.81 = 0.6*4.6188
0.886*Fr – 5.886 = 2.77128
Fr = 9.9968
Fr = 10 N
Fn = (Fr*Cos60)
Fn = 5 N
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.