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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 m

Explanation / 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