what that torque (r X F) should do to the direction of the angular momentum vector.

The left-hand end of a uniform rod of length L and mass m is attached to a vertical wall by a frictionless hinge. The rod is held at an angle θ above the horizontal by a horizontal wire that runs between the wall and the right-hand end of the rod. The wire breaks and the rod rotates about the hinge. What is the angular speed of the rod as the rod passes through a horizontal position? (Express your answer in terms of some or all of the variables m, g, L, θ.)

Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia of 84.4 kg · m2. The father exerts a force on the merry-go-round perpendicular to its 1.50 m radius to achieve a torque of 375 N · m. (a) Calculate the rotational kinetic energy (in J) in the merry-go-round plus child when they have an angular velocity of 13.4 rpm. J (b) Using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions (c) Again, using energy considerations, calculate the force (in N) the father must exert to stop the merry-go-round in six revolutions. N

Problem 7: Consider the 10.5 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.28 m and an outer radius of 0.33 m. The motorcycle is on its center stand, so that the wheel can spin freely.

Solve for d, e, f only

A gymnast on the uneven parallel bars is at rest, tipped at a 45° angle from the vertical. The distance from her hands to her feet is 1.8 m. If we model her body as having a uniform cross section and assume that her center of gravity is midway between her hands and her feet, what is her initial angular acceleration?

Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

While driving his motorcycle at highway speed, a physics student notices that pulling back lightly on the right handlebar tips the cycle to the left and produces a left turn. Explain why this happens in terms of the vectors of torque and angular momentum

Can you help me with this question please? Thank you so much!

(c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation. O Yes O No

At the moment of take-off, a diver's moment of inertia (I) was 50 kgm^2 and angular velocity about a mediolateral axis was 90 degrees/s. later in the dive, I (moment of inertia) changed to 15 kgm^2. What was the new angular velocity?

Given the picture attached: (a) Find the magnitude of the net torque on an axis about C perpendicular to the page. (b) Is this clockwise or counterclockwise?

A 20-kg child running at 1.4 m/s jumps onto a playground merry-go-round that has mass 180 kg and radius 1.6m. She is moving tangent to the platform when she jumps and she lands right on the edge. What is the angular velocity of the child and the merry-go-round if the merry-go-round started from rest? You can treat the merry-go-round as a solid disc and ignore any friction in its axle. Please answer in units of rad/sec.