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    Torques

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    Finding forces supporting the diving board and torque

    Please see attached text file for picture. Determine the magnitudes and directions of the forces supporting the diving board (F1 and F2). Find the torque (Magnitude and Direction) due to the divers weight about the support closer to the water. (that is the support at F2 in the picture)

    Uniform rod is supported by a rope against a wall

    A uniform rod is supported by a rope against a wall. About what point of this system would you find the toque in order to find the force exerted by the rope? See attached file for full problem description.

    Forces on the Uniform Beam by the Wall and the Wire

    A 1200 N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A W = 1940 N crate hangs from the far end of the beam. Use the data shown in the drawing to determine the following (see attachment). (a) Calculate the magnitude of the tension in the wire. (b) Calculate the magni

    distance from the support before the plank begins to tip

    A uniform plank of length 4.8 m and weight 211 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 458 N walk on the overhanging part of the plank before it just begins to tip?

    torques due to the weight and thrust

    The drawing shows a jet engine suspended beneath the wing of an airplane. The weight W of the engine is 9600 N and acts as shown in the drawing. In flight the engine produces a thrust T of 62400 N that is parallel to the ground. The rotational axis in the drawing is perpendicular to the plane of the paper. With respect to this a

    Forces and Torques: Net torque applied to the cable car.

    In San Francisco a very simple technique is used to turn around a cable car when it reaches the end of its route. The car rolls onto a turntable, which can rotate about a vertical axis through its center. Then, two people push perpendicularly on the car, one at each end, as in the drawing. The turntable is rotated one-half of a

    Forces and Torques

    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 47 Nm. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench.

    Rotational Energy on a solid disk

    A uniform, solid disk with mass m and radius R is pivoted about a horizontal axis through its center. A small object of the same mass m is glued to the rim of the disk. If the disk is released from rest with the small object at the end of a horizontal radius, find the angular speed when the small object is directly below the

    Torque on a loop

    A rectangular wire loop with a cross-sectional area of 5,000 cm^2 carries a current of 0.50 amperes. The loop is free to rotate about an axis that is perpendicular to uniform magnetic field strength of 0.40 Tesla. The plane of the loop is initially at an angle of 25 degrees to the direction of the magnetic field. What is the ma

    Hoop's Angular Velocity Moving Down an Inclined Plane

    The hoop (thin ring) has a mass of 5 kg and is released down the inclined plane such that it has a backspin angular speed = 8 rad/s and its center has a velocity = 3 m/s as shown. If the coefficient of kinetic friction between the hoop and the plane is 0.6, determine the hoop's angular velocity in 1 s. (See attached file for

    Torque on Dipole

    An electric dipole consists of charges +2e and -2e separated by 0.78 nm. It is in an electric field of strength 3.4 x 10^6 N/C. Calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to (b) perpendicular to (c) antiparallel to the electric field. What is the difference between potential e

    Magnetic Field of Circular Coil

    A small circular coil of 20 turns of wire lies in a uniform field of 0.5 T, so that the normal to the plane of the coil makes an angle of 60 degrees with the direction B (magnetic field with arrow over top). The radius of the coil is 4 cm, and it carries a current of 3 A. (a) what is the magnitude of the magnetic moment of the c

    Atwood Machine: Finding Speed of a Mass

    An Atwood machine has a mass of 3.50 kg connected by a light string to a mass of 6.00 kg over a pulley with a moment of inertia of 0.0352 kg and a radius of 12.5 cm. If the system is released from rest, what is the speed of the masses after they have moved through 1.25 m? 2.00 m/s 2.28 m/s 4.00 m/s 4.95

    Determining the Magnitude of Torque

    Two solid steel shafts are connected to a flange coupling at B and to rigid supports at A and C as shown. For the torque shown, determine the torque exerted on shaft at the end A and C. See attached file for diagram.

    forces at ends of the beam

    For the beam and loading shown, determine the reaction force at end A and B. a. 40 kN b. 36 kN c. 12 kN d. 8 kN

    Oscillation of a Cylinder on a Cylindrical Surface

    A small uniform cylinder of radius R rolls without slipping along the inside of a large fixed cylinder of radius r (r>R). Show that the period of Oscillation of the rolling cylinder is equivalent to that of a simple pendulum whose length is 3(R-r)/2.

    Angular acceleration of the rod

    In problem 16.72(a), if the uniform slender rod weighs 15 lb, and the horizontal force P is 12 lb, the angular acceleration of the rod is: a. 44.2 rad/s^2 b. 82.8 rad/s^2 c. 55.2 rad/s^2 d. 35.2 rad/s^2

    Finding the deformation by Castigliano's theorem

    Can someone show me how Castigliano's Method can be used to determine the elastic displacement of the red beam resulting from a torque placed on the circle (you can assume that the angular rotation of the circle is small ~ 2 or 3 degrees).

    Bowling Ball, Gyroscope & Flywheel

    4. A bowling ball has a mass of 4.0 kg, a moment of inertia of 1.6x10 to the - 2nd kg.m2 and a radius of .20m. If it roll down a horizontal lane without slipping at a linear speed of 4.0 m/s, what is its total kinetic energy? 5. A gyroscope has a moment of inertia of .14 kg.m2 and has an initial angular velocity of 15 rad/s. Fr

    Application of the Principle of Conservation of Angular Momentum

    A student on a piano stool rotates freely with an angular speed of 3.16 rev/s. The student holds a 1.50 kg mass in each outstretched arm, 0.794 m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.45 kg*m2, a value that remains constant. As the student pulls his

    Rotational Axes and Maximum Stresses

    See the attached file. 1. Two solid aluminum shafts (G = 3.7x106 psi) are connected by the gears shown. Ends B and D are fixed. What is the angle through which end C rotates? 2. For the beam of the cross section shown, determine the location of the neutral axis from the bottom of the beam. 3. For the beam of question

    Three problems on torque

    1. At the local playground, a 16 kg child sits on the end of a horizontal teeter-totter, 1.5m from the pivot point. On the other side of the pivot an adult pushes straight down on the teeter-totter with a force of 95 N. In which direction does the teeter-totter rotate if the adult applies the force of a distance (a) 3.0 m, (b) 2

    Physical Pendulum: Derive the equation for the period

    A physical pendulum is constructed from a uniform thin rod of length L suspended from one end. The center of gravity lies at the midpoint of it's length. 1) Derive the equation for the period of this physical pendulum, assuming only small angle oscilllations. 2) Derive the equation for the angular frequency of this physic

    Moment of a Force: Normal Force on the Wheels

    A jet transport has a weight of 1.00x10^6 N and is at rest on the runway. The two rear wheels are 15m behind the front wheel, and the plane's center of gravity is 12.6m behind the front wheel. Determine the normal force exerted by the ground on the front wheel and each of the two rear wheels.

    Rotational Dynamics

    Please help with the following problem. By means of a rope whose mass is negligible, two blocks are suspended over a pulley, as the drawing shows. The pulley can be treated as a uniform solid cylindrical disk. The downward acceleration of the 44.0-kg block is observed to be exactly one-half the acceleration due to gravity. N

    Theory of ballpoint pen.

    Describe the energy changes that take place when a ballpoint pen is used. Decribe the forces that act in the use the ballpoint pen..

    Mass Moment of Inertia of the Pulley

    At the instant shown in the figure, the stepped pulley rotates clockwise at 25 rad/sec, with a clockwise angular acceleration of 6 rad/sec^2. The masses of the two blocks are mA = 0Kg, ma = 5Kg, and the cables are inextensible. Find the mass moment of inertia of the pulley. (See attached file for full problem description)