The 5.0 kg, uniform, horizontal rod is seen from the side. What is the gravitational torque about the point shown? Use g = 10 m/s2. (Hint: It means the point shown is the pivot - rotational axis. Clearly draw the free-body diagram with the pivot, force, and r.) 25 cm O 12.5 N.m O-12.5 N·m 25 N-m O-25 N·m O 75 N·m O-75 N·m 50 N.m O -50 N.m O 0 none of the above 75 cm

In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0, -4.30 m, 7.74 m) when forces F = (3.80 N )k and F = (-7.82 N )Ĵ act on the flea? 2 Number i î i i k Units

Can you show me how to solve this?

a.) A tension force, T, of magnitude 5.0 N is applied to the end of a bar at a distance r = 1.5 m from the axis of rotation O (represented by the black dot). The angle between the force and the distance vector, θ=25o. Calculate the magnitude and direction of the torque vector.   b.) In the previous problem, let’s make some changes.  The bar is now a different length and reoriented within 3-D space such that the r is a vector that has components (3,2,0) in the xyz coordinate frame, and F is a vector with components (4,5,0). What is the torque exerted on the rigid body about a pivot located at the origin? Express your answer in i, j, k, components.  Assume all distances are represented in meters and forces in newtons.

Computation. Mounted for repair, a 3.4-kg bicycle tire has a radius of 32 cm. It rotates through an angle of 23.9 rad as it slows uniformly from 28.9 rad/s to 17.7 rad/s. Find the magnitude of its angular acceleration. a = rad/s² Record your numerical answer below, assuming three significant figures. Remember to include a "_" as necessary. O Search C &

A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = Rw

A uniformly dense rod with a length of 4 m and a mass of 6 kg is free to rotate around a frictionless axle through the center of the rod. Three forces are acting on the rod as shown in the figure below. 2 m 0.8 m 15 N 4 N 10 N 2 m 30° N What is the net torque (in Nm) acting on the rod? 0.665

F, = 15 N F2 = 10 N 35 For the two forces, determine the magnitude and direction of the net torque about point A. + 2 m * 3m

For each question, use degrees NOT radians. Healthcare professionals, when measuring range of motion (ROM) and isokinetic strength, use degrees - so this assignment will use answers in degrees as well. A person is laying on their stomach doing a hamstring curl.  They go from fully extended (0o) to 130o of flexion.  What is their angular displacement if the person is on their stomach with their head facing left (feet pointing right)?

A wheel of inner radius r, = 14.6 cm and outer radius r, = 35.0 cm shown in the figure below is free to rotate about the axle through the origin O. What is the magnitude of the net torque on the wheel due to the three forces shown? (Assume F, = 4.20 N, F, = 6.20 N, and F, = 13.0 N.) N. m F2 F1 45.0°