Mechanics | Relativity Answers

A solid uniform cylinder with a radius of 0.3m and a mass of 12kg is free to rotate about it axis, which is supported by frictionaless bearing a constant tangential force of 10N is applied to the cylinder calculate (i)the torque apply to the cylinder (ii) what's the angular acceleration of the cylinder (iii) what's the angular velocity of the cylinder 3 secs after the force applied.

a 12kg uniform disc has a radius of 25cm and spins on an axis through it's centre and perpendicular to it's plane find the radius of it's gyration

Three forces pull an object:F1=50-N towards the +×;F2=50-N towards the+y and F3=70-N,30°below -×.What force will balance the three?

What is the acceleration from 5.0 m/s to 15 m/s south in 4.0 second

Imagine you’re pulling a sledge. That is: a massive
object with no wheels; scraping along the ground,
with friction, but pulled along by an ideal massless
rope under tension, inclined at an angle θ.
Obviously θ = 90◦ would not be a good angle at which to tug at the sledge, as you’d just be pulling it
straight up. Less obviously, θ = 0 would also not be the ideal angle for pulling the sledge. There is some
nonzero “optimum” angle θopt along which you can orient the rope that minimizes the amount of tension
you have to apply to the rope in order to overcome friction and get the sledge to move.
Explain in words why it is best to pull slightly upward. Try to explain succinctly, but completely. Answers
will be graded not only based on correctness, but also on completeness of the explanation. You do not need
to calculate θopt (or anything, really), you’re just trying to argue (in words) that θopt is nonzero

The coordinate of a particle in meters is given by x(t)=2.0t-2.0t², where the time t is in seconds. The particle is momentarily at rest at time t equal to?

The resultant of vectors A and B is 12-N perpendicular to vector A. If vector A also has 12-N magnitude, solve for the magnitude and direction of vector B.

find the tension on the rope that will keep 3200 lb car on a 30 degrees incline when athe rope is parallel to the incline; when the rope makes 60 degrees. With the horizontal .Neglect fiction.

A boat is travelling at 15 miles per hour. Aman walks across the deck in a direction at a right angle to the direction of the boat at the rate of 6ft. Per seconds. What is the total distance travelled by the man in 1 second with respect to the earth?