D Question 6 10 pts In Newton\'s second law for translational motion, n et force
ID: 2034039 • Letter: D
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D Question 6 10 pts In Newton's second law for translational motion, n et force mass x acceleration. In Newton's second law of motion for rotational motion, what takes the place of mass? moment of inertia O angular acceleration O none of the given answers is correct Onet torque Question 7 10 pts The moment of inertia of a thin rod, rotating about its end, is one third its mass times its length squared. You see your friend balance a pencil (on its tip) upright on his finger for one minute. You say "That's nothing! I can balance a 20 foot long pole on my head for five minutes!". From the point of view of rotational inertia, which is actually harder to do, and why? O the pole is easier to balance because its moment of inertia is smaller O the pencil is easier to balance because its moment of inertia is larger O the pencil is easier to balance because its moment of inertia is smaller O they are both equally difficult to balance O the pole is easier to balance because its moment of inertia is largerExplanation / Answer
6) MOMENT OF INERTIA. For rotational motion, the formula will state
Torque = (Moment of Inertia)*(angular acceleration)
7) As the mass and length is increased, the Moment of Inertia will also increase. Therefore, now to keep the longer rod in balalace, more effort will be required to keep it in the same position.
THE PENCIL IS EASIER TO BALANCE BECAUSE ITS MOMENT OF INERTIA IS SMALLER THAN THE ROD
8) torque is a product of force acting and distance from the pivot,
As the rod is the same, the weight force will stay constant. and the distance will vary from when it is vertical it when it is horizontal. The perpendicular distance(horizontal distance) from force and pivot will be zero when the rod is vertical, but will keep on increasing as the rod becomes horizontal.
Hence, the torque would INCREASE.
9) Assuming upwards is positve,
the net magnitude wil be F = +10-10 = 0 N
10) The net torque could be any value between 0 and 10 N-m depending on the where the forces are applied,
This variation will happen based on the formula,
Torque = Forces* distance between the forces
And as the forces are acting on meter stick, the distance can not be more than 1 m. Hence the variationb will lie between 0 and 10 N-m.
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