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    Torques

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    Rolling motion

    Please see attached problems. 1. An automobile tire has a radius of 0.370 m, and its center moves forward with a linear speed of v = 16.0 m/s. (a) Determine the angular speed of the wheel. (Assume that there is no slipping of the surfaces in contact during the rolling motion.) (b) Relative to the axle, what is the tangenti

    Laws of Motion : Connected motion

    (Please see the attached file for detailed problem and fig.) The two blocks, m1 = 3.0 kg and m2 = 4.9 kg, in the figure (see attachment) are connected by a massless rope that passes over a pulley. The pulley is 12 cm in diameter and has a mass of 2.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0

    They rotate about the center of mass

    See the attached problem below. A 0.9 kg mass at (x, y) = (20 cm, 20 cm) and a 2.6 kg mass at (20 cm, 100 cm) are connected by a massless, rigid rod. They rotate about the center of mass. (a) What are the coordinates of the center of mass? (b) What is the moment of inertia about the center of mass? (c) What constant

    The cart shown starts from rest and rolls down the slope.

    (Please refer attachment for fig) The cart shown starts from rest and rolls down the slope. For each wheel Ic = 0.8 ft-lb-s^2, weight 30 lb. and diameter 32 in. The body of the cart weighs 60 lb. Assuming no slipping and neglecting friction at the axles, determine the a) acceleration of the cart down the slope, b) minimum coe

    A disc on an inclined plane

    (Please see the attached file and solve number 4 only) A uniform disk of mass m=20 lb and radius r=9 inches is placed in contact with an inclined surface and a constant couple M = 7.5 lb.ft is applied as shown (see attachment). The weight of link AB is negligible. Knowing that theta = 30 degree and the coefficient of kinetic

    force applied to outer edge at right angles to the door

    I do not know where to begin with this particular problem. Does this involve torque since we are moving the door 90 degrees? Here's the problem: A massive shield door at a neutron test facility at Lawrence Livermore Laboratory is the world's heaviest hinged door. The door has a mass of 44,000 kg, a rotational inertia about it

    Hydostatics: Force and torque on a dam wall of reservoir

    As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases. Eventually, the force on the dam becomes substantial, and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure rho gh,

    A 1220 N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960 N crate hangs from the far end of the beam. Using the data shown in the drawing find (a) The magnitude of the tension in the wire and (b) The magnitude of the horizontal and vertical components of the force that the wall exerts on the left end of the beam.

    (5) A 1220 N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960 N crate hangs from the far end of the beam. Using the data shown in the drawing find (a) The magnitude of the tension in the wire and (b) The magnitude of the horizontal and vertical components of the f

    Simple Harmonic Motion..

    A slender, uniform metal rod of mass M and length l is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. a). Find the

    To determine the torsional constant of a Torsional Pendulum.

    A thin metal disk of mass m = 2 x 10^-3 kg and radius R = 2.20 cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted by the fiber on the disk is proportional to theta: T= -k*theta The constant of proportionality k is called the "torsional

    Motion of objects on an inclined plane.

    Object 1 rolls up the incline without slipping. Object 2 rolls down the incline without slipping. Object 1 is a solid sphere and has mass 2kg and radius R1 Object 2 is a hoop of mass 1kg and radius R2 Object 3 is a disk that is mounted on a frictionless axle through its CM. It has mass 4kg and radius R3 (this disk acts

    Sliding Ladder

    A uniform ladder with mass m_2 and length L rests against a smooth wall. A do-it-yourself enthusiast of mass m_1 stands on the ladder a distance d from the bottom (measured along the ladder). The ladder makes an angle theta with the ground. There is no friction between the wall and the ladder, but there is a frictional force of

    A Bar Suspended By Vertical Strings

    A rigid, uniform, horizontal bar of mass m_1 and length L is supported by two identical massless strings. Both strings are vertical. String A is attached at a distance d < L/2 from the left end of the bar and is connected to the ceiling; string B is attached to the left end of the bar and is connected to the floor. A small block

    maximum weight the crane lifts without tipping

    Given the angle theta_min, what is the maximum weight (or load) W_L,max that this crane can lift without tipping forward? (Recall that weight has units of force.) Express the maximum load in terms of theta_min and other quanitites given in the problem introduction.

    The Angular Velocity at the Start of the Interval

    A variable torque is applied to a rotating wheel at t = 0 and causes the clockwise angular acceleration (alpha) to increase linearly with the clockwise angular displacement (theta) of the wheel during the next 30 revolutions. when theta is 0, alpha is 10 rads/sec^2. when theta is 30 revs, alpha is 20 rds/sec^2, and the angul

    Torque Exerted About the Center of the Nut

    A machinist is using a wrench to loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0 N force at the end of the handle at 37 degrees (see attachment). a) What is the magnitude of the torque does the machinist exert about the center of the nut? b) What is the maximum torque he could exert with this force?

    Force system: Action and reactions

    The clamp of a dual grip is tightened by one horizontal and one vertical screw with given force. The total reaction force at the pin of the clamp is calculated in magnitude and direction.

    Determine Maximum Shearing Stress

    The torques shown are exerted on pulleys A, B, and C. Knowing that both shafts are solid, determine the maximum shearing stress in (a) shaft AB, (b) shaft BC. a) 97.21 MPa; 56.36 MPa b) 94.38 MPa; 71.66 MPa c) 85.14 MPa; 93.27 MPa d) 78.32 MPa; 49.52 MPa

    KQML/KIF Dialogue Between Two Agentsa

    This question deals with dialogue between two Intelligent Software Agents: The following is a short KQML/KIF dialogue between two agents, with respect to an engineering domain. (stream-about :sender A :receiver B :language KIF

    Linear velocity of cylinders when rolling down an incline

    A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without slipping, from the top of an inclined plane that is 4.9 m above the ground. The acceleration of gravity is 9.8 m/s2 : Find the final linear velocity of the thin cylindrical shell. Answer in units

    Rolling of round objects down an incline and torque

    Q#1 Explain (a) how it is possible for a large force to produce only a small or even zero, torque, and (b) how it is possible for a small force to produce a large torque. q#2 A hoop, a solid cylinder, a spherical shell, and a solid sphere are placed at rest at the top of an incline. All the objects have the same ra

    Tension in the Wire and the Reactions Against the Rollers

    Please see attached. For some reason I have too many unknowns when solving; not sure which can be combined. The uniform bar with end rollers weighs 60 lb and is supported by the horizontal and vertical surfaces and by the wire AC. Calculate the tension T in the wire and the reactions against the rollers at A and at B.