Find the torque about the origin produced by a constant force of (6i+8j+10k) N on a particle situated at (3i-4k)m.
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Find the torque about the origin produced by a constant force of (6i+8j+10k) N on a particle situated at (3i-4k)m.
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- A piece of wood is pressed against a spindle sanding disk which is a uniform disk with a radius of 0.090 m, rotating at an initial angular velocity of 37.0 rad/s (ωi = 37.0 rad/s). This motion results in a constant tangential frictional force of magnitude f = 9.00 N and causes the sanding disk to come to a complete stop in = 25.0 s. (a) Small pieces of wood get removed from the large piece of wood with a speed equal in magnitude to the tangential velocity of the rim of the sanding disk (and in a direction tangent to the disk). What is thespeed of the pieces of wood when the disk is rotating at its initial angular velocity of ωi.(b) What is the angular acceleration α of the sanding disk.(c) How many revolutions does the disk complete before coming to a stop?1 Force F = (7.26 N )i^— (7.05 N )ê acts on a pebble with position vector ☞ = (5.76 m )j^– (3.10 m), relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (5.00 m, 0, -5.54 m)? - Your answer is partially correct. (a) Number www (b) Number Hint eTextbook and Media Save for Later -40.608 52 -40.608 80 F3 Q F4 + + JUL 2 i 22.51 9 F5 -18.26 tv MacBook Air C F6 + ← F7 -41.817 -41.82 ST DII F8 k Units N-m Attempts: 2 of 4 used A kUnits F9 N-m Submit Answer A F10 + # F11A flat uniform circular disk (radius = 6.22 m, mass=320 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 51.0-kg person, standing 2.32 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.00 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.
- In the figure, a 0.400 kg ball is shot directly upward at initial speed 51.9 m/s. What is the magnitude of its angular momentum about P, 6.03 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the magnitude of the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? Ball (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsA student sits on a rotating stoll holding two 8.0kg objects. When his arms are extended horizontally, the objects are 1.3m from the axis rotation and he rotated with an angular speed of 1.8rad/s. The moment of intertidal of the student plus stoll is 4.5kg•m^2 and is assumed to be constant. if the student pulls in the two objects horizontally to 0.50m from the rotation axis. What is the new angular speed in rad/s of the student? (3 sig fig)A metal can containing condensed mushroom soup has mass 230 g, height 11.0 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 28.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = kg · m2 (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) O the mass of the can the height of the can O the angle of the incline O the time the can takes to reach the bottom O none of these (c) Why can't the moment of inertia be calculated from I = mr2 for the cylindrical can?