A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.450 Hz. The pendulum has a mass of 2.20 kg, and the pivot is located 0.350 m from the center of mass. Determine the moment of inertia of the pendulum about the pivot point.

A 12.0 kg box resting on a horizontal, frictionless surface is attached to a 5.00 kg weight by a thin, light wire that passes over a frictionless pulley (Figure 1). The pulley has the shape of a uniform solid disk of mass 1.40 kg and diameter 0.500 mm   After the system is released, find the x- and y-components of the force that the axle exerts on the pulley. Express your answers in newtons separated by a comma.

A homogeneous board weighing 274 N and long L = 6.23 m rests on a wall of height h = 2.87, the upper corner of which has a frictionless rolling mechanism. The plate is in equilibrium for any theta angle greater than or equal to 68.0 °, but it slides as soon as the angle is less than 68.0 °.Find the coefficient of static friction between the board and the floor.

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The moment of inertia of a thin rectangular plate with edge lengths a and b, and mass M, for a rotational axis through its center of mass and perpendicular to the plate, is: ris through its center of mass and perpendicular to the plate, is: diskance Lem = M ( + b) 1 Icm 12 What is the moment of inertia for an axis of rotation through one corner of the plate?

A .20 kg mass is sitting on a frictionless 1 m long incline and is attached via cable to the inner axle (radius .20 m). An unknown mass is attached via another cable to the outer wheel (radius .40 m). The wheel/axle has moment of inertia .053 kg*m^2. Find the unknown mass balance the system reconsider the previous problem without the hanging mess. The system is released from rest when the mass is at the top of the incline. use an energy analysis to find the speed of mass at the bottom of the incline if the incline is 1 m long.

A thin rod of mass 0.800 kg and length 0.700 m has a fixed pivot at one end.  The rod is held horizontally and released from rest.  The rod swings downward and back up again like a pendulum.  The rotational inertia of a thin rod rotating about one end is I=13ML2.  Disregard friction and air resistance.(a) Determine the initial angular acceleration of the rod just as it is released.(b) Determine the maximum angular speed of the rod as it swings back and forth.

A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.34 m The potter then throws a 2.6-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. - What is the frequency of the wheel after the clay sticks to it? Ignore friction

A small ball of mass 0.90 kg is attached to one end of a 1.20-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 23° from the vertical, what is the magnitude of the torque about the pivot?

= A pendulum consists of a rod of mass 1.80 kg and length L 1.00 m with a solid sphere at one end with mass 0.320 kg and radius 24.0 cm (see the following figure). If the pendulum is released from rest at an angle of 0 = 29.0°, what is the angular velocity at the lowest point? Axis A Part 1 + To solve this problem it will be necessary to first find the moment of inertia of the pendulum. What is its moment of inertia? Part 2 + What is the initial gravitational potential energy of the pendulum? Define the gravitational potential energy to be zero when the pendulum is at its lowest point. Part 3 What is the angular velocity of the pendulum at its lowest point?