A. A light, rigid rod of length L = 1.00 m joins two particles, with masses m_1 = 4.00 kg and m_2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.40 m/s.  B. What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 13.5 cm in diameter?

A playgorund carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 155 kg-m2. A 30 kg girl is standing at 0.25 m from the center, and the carousel has an angular velocity of 0.632 rad/s. The girl moves outward to a point located 1.512 m from the center. a. Find the initial combined angular momentum of the carousel and girl. b. Find the angular velocity of the carousel when the girl has reached the larger radius. c. Find the change in rotational kinetic energy of the carousel with the girl. d. Explain the source of the work to cause the change in kinetic energy.

Problem 3:   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 = 41 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a) Enter an expression for the angular momentum of the wind turbine, in terms of defined quantities b) calculate the angular momentum of the wind turbine in units of kilogram meters squared per second.

A 0.02 kg mass red object (bead) is moving at a speed of 10.0 m/s when it sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and has a mass of 0.5 kg , a radius of 0.25 m and is initially at rest. I = 1/2MR​2^2 a) What is the angular velocity of the system after the collision? b) How much kinetic energy is lost in the collision? c) If the angular position of the Cylinder varies as θ(t)=3.2t-t​^2 ​find the centripetal acceleration of the red object (bead). d) A cord is now wrapped around the cylinder. Use the work energy theorem to find the angular velocity of the cylinder after 5.0m of cord have been removed by a 40N Force. e) If the 40N force on the cord is replaced by a 40-N weight, what is the angular velocity of the cylinder after 5.0m of cord has unwound?

a. Calculate the angular momentum (in kg·m2/s) of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.370 kg·m2.   b. He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kg·m2) if his angular velocity drops to 2.05 rev/s.   c. Suppose instead he keeps his arms in and allows friction with the ice to slow him to 3.00 rev/s. What average torque (in N·m) was exerted if this takes 10.0 seconds?

Determine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s. Find the x-component. Express your answer using two significant figures. Lx = ΜΕ ΑΣΦ Submit Request Answer ▼ Part B Find the y-component. Express your answer using two significant figures. Ly= ΜΕ ΑΣΦ Submit Request Answer Part C Find the z-component. Express your answer using two significant figures. ? kg-m²/s ? kg-m²/s

In a physics lab, Asha is given a 10.1 kg uniform rectangular plate with edge lengths 63.7 cm by 54.7 cm. Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .

В C P D The above diagram shows four objects, A, B, C, and D, all moving to the right in a straight line at the same constant speed. Which one of the following statements is correct about the angular momenta La, LB, Lc, and Lp of the objects, with respect to point P? O LA = LB = Lc = LD> 0 O LA > LB = Lc > Lp = 0 LA = LB = Lc = LD = 0 LA> LB > Lc> LD = 0 LA > Lc> LB > LD = 0

m2 m1 Consider the light, rigid rod shown in the figure above. Its length is 1.9 m. Attached to the ends of the rod are two masses with masses m1 = 3.8 kg and m2 = 3.3 kg. The combination rotates in the xy plane about a pivot through the center of the fod. Determine the angular momentum of the system about the centre when the speed of each particle is 4.0 m/s.

A bicycle wheel of mass M (all at the edges) and radius r is fixed about an axis through its center and is initially at rest. You wrap the wheel with a cord and attach a hanging weight of mass m to the cord. You release the weight and allow it to fall a distance d. The weight falls smoothly, and the cord does not slip over the wheel as it unwinds. a. (Write an expression for the angular acceleration α of the wheel in terms of the tension T of the cord.b. Write an expression for the linear acceleration a of the weight in terms of the tension T of the cord.c. (Using parts (a) and (b) find the linear acceleration in terms of M, m, and g.d. Write an expression for the linear speed v of the weight after it falls a distance d.e.  For M = 7.5 kg, r = 33 cm, m = 250 g, and d = 1.5 m, what is the rotational kinetic energy of the wheel afterthe weight has fallen?