1) The two identical uniform bars are released from rest from the position shown
ID: 1859140 • Letter: 1
Question
1) The two identical uniform bars are released from rest from the position shown in the vertical plane. Determine the angular velocity omega of AB when the bars become collinear.
(From Engineering mechanics dynamics (Meriam kraige) 7th ed
book problem 6/142
2) Each of the solid circular disk wheels has a mass of 2 kg, and the inner solid cylinder has a mass of 3 kg. The disks and cylinder are mounted on the small central shaft so that each can rotate independently of the other with negligible friction in the bearings. Calculate the acceleration of the center of the wheels when the 20-N force is applied as shown. The coefficients of friction between the wheels and the horizontal surface are mu(k) = 0.30 and mu (s) = 0.40.
(From engineering mechanics dynamics (Meriam Kraige) 7th ed
book problem 6/204
please solve both two problems for me
Explanation / Answer
2)
I = 2*(1/2*2*0.15^2) + 1/2*3**0.075^2
I = 0.0534375 kg-m^2
F*0.15 + 20*0.075 = I*alpha
F*0.15 + 20*0.075 = 0.0534375*(a/0.15)............(1)
ma = 20 + F
(2+2+3)*a = 20 + F
So, F = 7a - 20
Putting it in (1)....(7a-20)*0.15 + 20*0.075 = 0.0534375*(a/0.15)
Solving, a = 2.16 m/s^2
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