A uniform oil tank has a mass of 755 kg and is attached to two massless wheels at O and Q. A small pendulum consists of a slender rod with a length L=0.17 m, a mass mp = 3.7 kg and a thin rectangular plate (with h=5.3 cm, b= 11.6 cm and area density of 21.4 kg/m?) with a hole in the middle (with a radius of 5.7 cm) is attached at point A which is pin fixed to the tank. If the tank is suddenly stopped, the pendulum rotates about point A. (i) Determine the mass moment of inertia of the pendulum about point A in kg.m². (ii) If an extermal variable force F=0.19+114 N pulls the tank, determine how far the tank moves with 9.4 second, starting from rest (assumes that the pendulum is massless). (iii) For part (i), calculate the reactions at the two wheels O and Q. which are rolling on a smooth surface. Consider the centre of gravity ot the middle of the tank You may use the following detals: ; = 1.07 m l,= 0.67 m, I = 0.13 m. =0.65 m and B = 219 !! F(t) 12
A uniform oil tank has a mass of 755 kg and is attached to two massless wheels at O and Q. A small pendulum consists of a slender rod with a length L=0.17 m, a mass mp = 3.7 kg and a thin rectangular plate (with h=5.3 cm, b= 11.6 cm and area density of 21.4 kg/m?) with a hole in the middle (with a radius of 5.7 cm) is attached at point A which is pin fixed to the tank. If the tank is suddenly stopped, the pendulum rotates about point A. (i) Determine the mass moment of inertia of the pendulum about point A in kg.m². (ii) If an extermal variable force F=0.19+114 N pulls the tank, determine how far the tank moves with 9.4 second, starting from rest (assumes that the pendulum is massless). (iii) For part (i), calculate the reactions at the two wheels O and Q. which are rolling on a smooth surface. Consider the centre of gravity ot the middle of the tank You may use the following detals: ; = 1.07 m l,= 0.67 m, I = 0.13 m. =0.65 m and B = 219 !! F(t) 12
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A uniform oil tank has a mass of 755 kg and is attached to two massless wheels at O and O. A small pendulum consists of a slender rod with a length L = 0.17 m. a mass me = 3.7 kg and a thin rectangular plate (with n = 5.3 cm, b = 11.6 cm and area density of 21.4 kg / m?) with a hole in the middle (with a radius of 5.7 cm) is attached at point A which is pin fixed to the tank. If the tank is suddenly stopped, the pendulum rotates about point A. (i) Determine the mass moment of inertia of the pendulum about point A in kg.m2.
(ii) If an external variable force = 0,192 +114 N pulls the tank determine how far the tank moves with 9.4 second, starting from rest (assumes that the pendulum is massless),
(iii) For part (ii), calculate the reactions at the two wheels O and Q which are rolling on a smooth surface. Consider the center of gravity of the middle of the tank You may use the following details: li = 1.07 milz = 0.67 m l = 0.13 m 12 = 0,65 m and B = 210
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