Two blocks are placed at the ends of a horizontal massless board, as in the drawing. The board is kept from rotating and rests on a support that serves as an axis of rotation. The block on the right has a mass of 2.4 kg. Determine the magnitude of the angular acceleration when the system is allowed to rotate. 12 kg 0.60 m Axis Support 1.4 m Magnitude a of the angular acceleration =

A string is wound around a hollow cylinder with a radius of 0.2 meters and a mass of 4.0 kg, which is free to rotate.  A 2.0 kg mass is attached, as shown below       What is the rotational inertia of the cylinder? Find the acceleration of the mass.

A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 94.8 kg. A person pushes on the outer edge of one pane with a force of F = 71.7 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. 1.2 m 1.2 m Number i Units

The figure below represents a bicycle wheel comprised of a rim with a radius of R = 0.5 m and mass of M = 200 g, to which someone has added two m = 30 g sensors that are separated by an angle of = 110°. The axis of rotation for the wheel is at its center, as represented by the vector symbol, for a direction into the page. m = 30 g R = 0.5 m M = 200 g m = 30 g a) Where is the center of mass of the wheel/sensor system? b) What is the rotational moment of inertia of the wheel/sensor system around its axis of rotation?

A system of point particles is shown in the following figure. Each particle has mass 0.280 kg and they all lie in the same plane. What is the moment of inertia of the system about the given axis? 38 cm 25 cm axis 58 cm Submit Answer Tries 0/10 If the system rotates at 4.80 rev/s, what is its rotational kinetic energy?

12 m 12 m A 3 m B 3 m Figure 1 Figure 2 A simple trebuchet is constructed as shown above.The projectile mass, ma = M = 1.50 kg, and the counterweight mass, mg = cM, where c is 7.50 x 102. Relative to the masses of the projectile and counterweight, the mass of the rotating arm is assumed negligible and there is no friction in the pivot.There is a mechanism that stops the arm when it becomes vertical, allowing the projectile to be launched horizontally. {If needed, treat both masses as point masses with moment of inertia = (mass)R2.} a. Determine the tangential speed of the projectile at the top of the motion as it leaves the trebuchet. Blank 1 b. How long is the projectile is in the air? Blank 2 Do Not Enter Units In Answers. Show All Starting Equations And Ideas That Lead To Your Answers. Blank 1 Add your answer Blank 2 Add your answer

A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units rad

You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 14 N·m. Using the data in the figure, determine the magnitude F of the force that you must exert on the wrench.

A Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.024 rad/s2. How long does it take the wheel to come up to operating speed? Number i Units

A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of F = 88.2 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m > 1.2 m