In each case, a charged rod, made of the dense rubber ebonite, comes close or is in contact with the top of an electroscope. The
2 answers:
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Answer:
(A) 2.4 N-m
(B)
(C) 315.426 rad/sec
(D) 1741.13 J
(E) 725.481 rad
Explanation:
We have given mass of the disk m = 4.9 kg
Radius r = 0.12 m, that is distance = 0.12 m
Force F = 20 N
(a) Torque is equal to product of force and distance
So torque , here F is force and r is distance
So
(B) Moment of inertia is equal to
So
Torque is equal to
So angular acceleration
(C) As the disk starts from rest
So initial angular speed
Time t = 4.6 sec
From first equation of motion we know that
So
(D) Kinetic energy is equal to
(E) From second equation of motion
Answer:
i) No, the spring scale does not read a different value
ii) The torque will read a different value, it will reduce
iii) The spring scale does not need to be measured at the center of mass location.
Explanation:
The torque caused by the gyroscope can be given by the relation,
r × f
The torque measured by the gyroscope varies directly with the distance, r.
A decrease in the distance r will also cause a decrease in the value of the torque measured. When the distance, r is reduced from 7.5 inches to 5 inches, the torque caused by the gyroscope's weight also reduces.
The weight of the gyroscope remains constant despite the reduction in the distance because the weight of the gyroscope is not a function of the distance from the gyroscope. Therefore, the spring scale will not read a different value.
Yes, the spring scale does not need to be measured from the center of mass location because the weight does not depend on the location of measurement. The reading of the sprig scale remains constant.