Question 14 In Figure (a), a metal plate is mounted on an axle through its center...
Question 14 In Figure (a), a metal plate is mounted on an axle through its center of mass. A spring with k = 2600 N/m connects a wall with a point on the rim a distance r = 4.00 cm from the center of mass. Initially the spring is at its rest length. If the plate is rotated by 7º and released, it rotates about the axle in SHM, with its angular position given by Figure (b).The horizontal axis scale...
A uniform wheel of mass 12.0 kg is mounted rigidly on a massless axle through its center, as shown in the figure below. The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg
A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see figure . The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg·m2. The wheel is initially at rest at the top of a surface that is inclined at angleθ = 43.6o with the horizontal; the axle rests on the surface while the wheel extends into a...
Question 13 The 3.50 kg cube in the figure has edge lengths d = 7.20 cm and is mounted on an axle through its center. A spring (k = 1300 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 5.00° and released, what is the period of the resulting SHM? ROA d Number Units
Question 13 The 3.50 kg cube in the figure has edge lengths d = 7.20 cm and is mounted on an axle through its center. A spring (k = 1300 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 5.00° and released, what is the period of the resulting SHM? 30 d d Number Units
A square plate with sides 1.min length can rotate around an axle passing through its center of mass (CM) and perpendicular to its surface (see Figure below). There are four forces acting on the plate at different points. The rotational inertia of the plate is 16 kg ml. Use the values given in the figure to answer the following questions (Assume 0 400 Express your answers in vector form) 1200N 400N (a) What is the net torque acting on the...
The moment of inertia of the human body about an axis through its center of mass is important in the application of biomechanics to sports such as diving and gymnastics. We can measure the body's moment of inertia in a particular position while a person remains in that position on a horizontal turntable, with the bodys center of mass on the turntable's rotational axis. The turntable with the person on it is then accelerated from rest by a torque that...
A bicycle wheel is mounted on a fixed, frictionless axle, with alight string wound around its rim. The wheel has moment of inertia I=kmr2, where m is its mass, r is its radius, and k is a dimensionless constant between zero and one. The wheel is rotating counterclockwise with angular velocity w0, when at time t=0 someone starts pulling the string with a force of magnitude F. Assume that the string does not slip on the wheel.Part ASuppose that after a certain time tL,...
e susJrom rest at the top of the well and falls for before hitting the water, how far does it fall? Moment of inertia of cylinder 1-% MR 2. A ladder is leant against the wall. The coefficient of the static friction p. between the ladder and the wall is 0.3 and the coefficient of the static friction g, between the ladder and the floor is 0.4. The center of mass of the ladder is in the middle of it...
A solid cylindrical disk with moment of inertia I, rotates about a vertical axle through its center with angular velocity o;. A second, smaller solid cylindrical disk with moment of inertia 12 , which is not rotating, is dropped onto the first disk. Shortly after the collision, the two disks reach a common final angular velocity of. Assume the axle is frictionless. Before After 1 INI i - II II - 1 Find an expression for of in terms of...