An assembly plant uses a hoist to raise and maneuver large objects. The hoist shown in Figure is a winch attached to a beam that can move along a track. Determine the natural frequency of the system when the hoist is used to raise a 800-kg machine part at a cable length of 9 m. Beam The beam is modeled as a pinned-pinned beam. If the hoist is at its midspan, its stiffness is 48 EI 1.3 Cable m Beam: L= 3.1 m E = 200 x 10° N/m² 1=3.5 x 104 m² Cable: E= 200 × 10° N/m² r = 10 cm L=9m (a) [] (b)

An assembly plant uses a hoist to raise and maneuver large objects. The hoist shown in Figure is a winch attached to a beam that can move along a track. Determine the natural frequency of the system when the hoist is used to raise a 800-kg machine part at a cable length of 9 m. Beam The beam is modeled as a pinned-pinned beam. If the hoist is at its midspan, its stiffness is 48 EI 1.3 Cable m Beam: L= 3.1 m E = 200 x 10° N/m² 1=3.5 x 104 m² Cable: E= 200 × 10° N/m² r = 10 cm L=9m (a) [] (b)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.51P: The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest...

See similar textbooks

Similar questions

The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.
Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
A 10-lb weight stretches a spring 2 ft. If the weight is pulled down6 in. below its equilibrium position and released, find the highestpoint reached by the weight. Assume the spring–mass system residesin a medium offering a resistance of 10/√g lb times the instantaneousvelocity in feet per second
SHOW COMPLETE SOLUTION A 5kg block rests on the smooth incline (30 degrees above horizontal) and is attacked on a spring originally stretched by 0.5m. Determine the total work done by all the forces acting on the block when a force P= 400N parallel to the inclined pushes the block up the plane at distance 1.5m
A block that has a weight Wa = 100 N is placed on a rough inclined plane, as shown in the figure. Block A is attached to block B by means of a flexible, inextensible cable with a non-compressible mass, which passes through a smooth pulley with a non-compressible mass; for such conditions determine the interval of values of the weight Wb for which the system will remain in equilibrium. Consider mE = 0.25
In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.
The layout shown is a representation of a machine shop. Components 1 and 2 have masses of m1=265kg and m2=220kg , respectively. Component 3 must be treated as a distributed load, which is w=175 kg/m2 , determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a=0.600 m , b=2.00 m , c=1.60 m , d=0.650 m , e=3.10 m , and f=1.10 m . These dimensions represent the x and y components of the locations of the centers of gravity for the respective components. Component 3 has x,y cross-sectional dimensions of x3=1.30 m and y3=0.250 m . Assume the components experience uniform weight distribution in all principle directions. The dimensions a through f locate the centroid of the respective component from the y−z plane and x−z plane.(Figure 1) Part A - The x Component of the Center of Gravity of All the Components Determine the x component of the center of gravity of all the components. Express your answer to three significant…
In case of a single cylinder double acting steam engine, 180 kW power is being developed at a mean speed of 120 r.p.m. The coefficient of fluctuation of energy is 0.12. The fluctuation of speed is ± 2% of mean speed. The flywheel rim has mean diameter of 2 metre. The hub and spokes of the flywheel provide 8% of the rotational inertia of the flywheel. If the density of the flywheel material is 7200 kg/m3, determine the mass and cross-sectional area of the flywheel rim.
A sling shot was released in a vertical direction using a rubber band having an equivalent spring constant of 2N/mm. If the deflection of the rubber band amounts to 10cm and the mass of the stone is 21g, determine the maximum height (above the undeflected position of the sling) the shot can reach.
A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
A bike chain can support a tension of no more than 9800 N. The pedal connects to a crank 17 cm from the axle, and the gear pulling the chain has a 9.1 cm radius. When riding at a constant speed, with the crank and pedal horizontal, as shown, what is the maximum force that can be applied to the pedal before the chain breaks?
A flexible cable with supports at the same elevation has a span of 900ft. The cable weighs 0.75 lb / ft and is 1000 ft long. Determine The maximum tension in the cable