shows a uniform 2.0 kg rod that can pivot in a vertical plane on an axle. We want to find the net torque about the axle. For each of the four forces F 1→

Force F = (-7.0 N)î + (5.0 N) ĵ acts on a particle with position vector7 = (4.0 m)î + (5.0 m) ĵ. (a) What is the torque on the particle about the origin, in unit-vector notation? = N: m (b) What is the angle between the directions of r and Torque is the cross product of a position vector (extending from a chosen point, here the origin, to the particle) and a force vector. Did you take the cross product in unit-vector notation? Do you remember how find the angle between two vectors by taking a dot product in both unit-vector notation and also in magnitude-angle notation? (You can similarly use a cross product to do this.) Do you remember how to find the magnitude of a vector from its components?

The spool has a mass, m, and a radius of gyration, kG. An inextensible is wrapped around the inner diameter of the spool and is attached to the wall a point A. The coefficient of friction between the floor and the spool is mu. If the spool has the initial angular velocity given as omega naught, how far will the center, G, move before stopping?

The angle between the beam and the floor is 15.0 degrees. The angle between the rope and the horizontal is 31.0 degrees. The beam is 4.10-m long and has a mass of 6.10 kg. The box sits a distance of d = 0.770 m from the upper end of the beam and has a mass of 9.60 kg.What is the torque due only to the weight of the box if the axis is at the hinge?

Find the torque about the point (1, −2, 1) due to the force F = 2i − j + 3k acting at the point (1, 1, −3).

Problem 2: A wheel with radius r= 1.8 m has a tangential force F = 14.2 N acting on it as shown. F Part (a) What is the magnitude of the torque about the center of the wheel, in N•m? N•m sin() cos() tan() 7 8 9 НОMЕ cotan() asin() acos() E ↑^^| 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees Radians VO BACKSPАСЕ DEL CLEAR Part (b) What is the direction of the torque?

A person exerts a horizontal force of 30 N on the end of a door 92 cm wide. a) What is the magnitude of the torque if the force is exerted perpendicular to the door? b) What is the magnitude of the torque if the force is exerted at a 70.0 ∘ angle to the face of the door?

Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 4.30 times the radius of A. What would be the ratio of the rotational inertias IA/IB if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy? (the absolute tolerance for the answer of a is ± 0.001)(the absolute tolerance for the answer of b is ± 0.0001)