15 F 14 13 A

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A uniform water tank has a mass of 788 kg and attached to two massless wheels at A and B. A small
pendulum consists of a metal rod with a length L=29.5 cm, a mass mp = 5.1 kg and a small cylinder (with
radius r= 12.8 cm, length of 16.8 cm and a density of 464 kg/m³) is attached at point 0, which is pin fixed
to the tank. If the tank is suddenly stopped, the pendulum rotates about the point 0. (i) Determine the
mass moment of inertia of the pendulum about point O in kg.m?. (ii) If an external constant force F=3.44
kN pushes the tank, determine the time need to push the tank for how far the crate moves with 6.7 m,
starting from rest (assumes that the pendulum is massless). (iii) For part (ii), calculate the reactions at
.the two wheels B and C, which are rolling over smooth ground
You may use the following details:
17 = 0.11 m, l2 = 0.48 m, l3 = 0.1 m, l4 =0.93 m, Is=0.97 m and e = 27°
F
4
Transcribed Image Text:A uniform water tank has a mass of 788 kg and attached to two massless wheels at A and B. A small pendulum consists of a metal rod with a length L=29.5 cm, a mass mp = 5.1 kg and a small cylinder (with radius r= 12.8 cm, length of 16.8 cm and a density of 464 kg/m³) is attached at point 0, which is pin fixed to the tank. If the tank is suddenly stopped, the pendulum rotates about the point 0. (i) Determine the mass moment of inertia of the pendulum about point O in kg.m?. (ii) If an external constant force F=3.44 kN pushes the tank, determine the time need to push the tank for how far the crate moves with 6.7 m, starting from rest (assumes that the pendulum is massless). (iii) For part (ii), calculate the reactions at .the two wheels B and C, which are rolling over smooth ground You may use the following details: 17 = 0.11 m, l2 = 0.48 m, l3 = 0.1 m, l4 =0.93 m, Is=0.97 m and e = 27° F 4
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