Is it possible to calculate the torque acting on a rigid object without specifying an axis of rotation? Yes No (b) Is the torque independent of the location of the axis of rotation?

a) No

b) yes

Explanation:

a) No, we need distance from center of rotation which is to exist on axis of rotation !

b) Yes

the answer to both questions is no.

Explanation:

The vector of a torque is oriented in a 3D Euclidean space. Its orientation point is relative to the origin in a specific coordinate system. If the coordinate system is removed, only the vector part would be had. This means that the direction and magnitude of the vector could not be calculated. This means that the vector cannot be found without a specific origin.

2b2t

explanation:

2b2t

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.