(e) 500 N (d) 800 N (b) 500 N (c) 500 N (a) 1000 N Diagram for problem 1 through
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Question
(e) 500 N (d) 800 N (b) 500 N (c) 500 N (a) 1000 N Diagram for problem 1 through 3 1. On the diagram, the length of the rod is 10 m, the axis is on the left side of the rod, how big is the torque of the Force C? A. 500 Nm B. 50 Nm C. 5000 Nm D. O Nm 2. What is the direction of the torque of the Force C? A. Clockwise B. Counter clockwise 3. Force E is applied with an angle of 45 degree, what is the magnitude of its torque? A. 50 Nm B. 5000 Nmm C. 2500 Nnm D. 3536 Nm 4. What is the moment of inertia of a 5 kg point particle that is 10 m away from the axis? A. 50 kg m2 B. 0.5 kg m2 C. 500 kg m2 D. 2 kg m2 5. What is the rotational kinetic energy of a sphere that has 1 15 kg m2and rotates 4 rad/s? A. 30 J B. 120 J C. 240 J D. 60 JExplanation / Answer
(1)
Expression for torque
? = r F sin ? = (10 m) (500 N) sin 90o = 5000 N.m
Correct option is (C)
(2) Direction of torque at C is counter clockwise
Correct option is (B)
(3)
Expression for torque
? = r F sin ? = (10 m) (500 N) sin 45o = 3536 N.m
Correct option is (D)
(4)
Moment of inertia: I = mr2 = ( 5 kg ) (10 m)2 = 500 kg.m2
Correct option is (C)
(5) Rotational kinetic energy:
KE = 0.5 (I)(w)2 = 0.5 (15 ) ( 4 rad/s)2 = 120 J
Correct option is (B)
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