### Restoring Force, Damping Force, and Effective Spring Constant

!Here's the actual problem: A) What is a restoring force? B) What is a damping force? C) What is an effective spring constant?

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!Here's the actual problem: A) What is a restoring force? B) What is a damping force? C) What is an effective spring constant?

A block of mass is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance from its equilibrium length. The spring has an unknown spring constant. A. What is the spring constant? B. Suppose that the block gets bumped and undergoes a small verti

An artist friend of yours needs help hanging a 500 lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be 30 degrees from vertical, the other 60 degrees. She needs you to determine the smallest diameter rope that can safely support this expensive piece of art. On a visit to the hardware

A beaker contains a thick layer of oil floating on water. A cubical block of wood is gently lowered into the beaker, so as not to disturb the layers of liquid, until it floats peacefully between the layers, as shown. a) What is the distance between the top of the wood cube (after it has come to rest) and the interface between

Please do not place your response in a .pdf format, but Word documents are okay. Thanks! A horizontal uniform bar of mass m and length L is hung horizontally on two vertical strings. String 1 is attached to the end of the bar and string 2 is attached a distance L/4 from the other end. A monkey of mass m/2 walks from one end o

A leg and cast weighs 220 N (w1) The leg held in traction by two weights (w2 and w3) attached to strings and applies in order that there be no force exerted on the hip joint J by the leg in the cast. (In other words the leg is in translational equilibrium) what are the numerical values of w2 and a for this to happen if w3=110 N?

At what distance from the Earth will a spacecraft on the way to the moon experience zero net force due to these two bodies because the Earth and moon pull with equal and opposite forces? Thanks

A small ring is held stationary with three forces, A, B and C acting on it. Force A= 85 nt /20 , Force B= 160 nt /150 . Angles are in degrees relative to the +x axis being 0. Find the magnitude and direction of Force C.

A block whose weight is W= 250 nt is on a frictionless plane which is at angle q= 25 degrees. A cable between the ceiling and the block makes an angle q=55 degrees from the ceiling. See ATTACHMENT1 for a diagram with given parameters, angles, physics statements, and a polygon created from known information. Also an illustration

A spring whose force constant k= 84 nt/m is suspended by one end from a support. The unstressed spring's length is .66 m. Find the length of the spring when a mass of M= 12 kg is suspended from the lower end, in equilibrium.

A block of plastic whose mass is 25 kg and whose density is 850 kg/m^3 is tied by a corfd to the bottom of a pool of seawater whose density is 1025 kg/m^3. Find the force in the cord.

A certain spring with its upper end attached to a ceiling and nothing attached to its lower end has a length s= .6 m. When a mass M= 2.0 kg is attached to hang from its lower end the spring then has a length h= .80 m. See ATTACHMENT for a diagram showing parameters. The mass is raised .15 m above equilibrium point and releas

A container is partitioned by a porous, fixed, wall. Because the wall is porous, it allows particles to diffusive from one side to the other (note that by 'diffuse' I mean that there are tiny holes in the wall which allow the gas particles to make it through; there is not some big gaping hole). The wall also allows the flow of

A block, mass = m1, lies on an incline of angle theta, and is connected to a second block of mass m2=3/2 m by a string that passes over a light frictionless pulley. The second block hangs vertically and is firmly attached to a spring that has negligible mass and a force constant of k. The opposite end of the spring is firmly a

An object is suspended from the bottom end of a spring. With the object in air, the spring exerts upward force Wa= 30 nt. With the object immersed in water, the spring exerts upward force Ww= 20 nt. With the object immersed in Liquid X, the spring exerts upward force Wx= 24 nt. see ATTACHMENT for a diagram. Find the density of

Hi. I need some help with a conceptual question. "A uniform 1-meter stick that is supported by a fulcrum at the 25-cm mark is in equilibrium when a 1-kg rock is suspended at the 0 cm end. Is the mass of the meter stick greater than, equal to, or less than the mass of the rock?" I thought the answer would be that the mass o

See attached file. To hold up a certain stationary iron anchor in air takes 200 newtons more than when it is submerged in fresh water. The density of iron is Di=7870 kg/m^3, and by definition, the density of fresh water is Dw=1000 kg/m^3. Find the weight W, of the anchor in air.

A uniform bar of length L= 8 m, whose weight is 420 nt is placed into a totally frictionless, open top box in the shape of a cube whose sides are length s= 4m. Its bottom end is at a lower corner and it extends over the opposite top edge. See ATTACHMENT for a diagram with dimensions. Find P, the force the top edge exerts again

A uniform boom is at an angle of 45 degrees from the ground. It is held in place by a frictionless pin at ground level. Weight A= 2230 nt is suspended from its upper end and the boom's weight B= 441 nt. A cable from its upper end to ground level makes angle 30 degrees with the ground. See ATTACHMENT for a diagram. Find T, the t

A uniform, rectangular door 2.2 m high and 2.4 m wide having a weight of 260 nt is supported by two hinges. One hinge is .30 m from the top corner and the other is .30 m from the bottom corner. Each hinge supports half the total weight of the door. See door ATTACHMENT for a diagram. Find the magnitude of the total force exert

A pan of water is heated from 23 C to 78 C. What is the change in its temperature on the kelvin and fahrenheit scales? A 0.225 kg sample of tin initially at 97.5 C is dropped into 0.115 kg of water initially at 10.0 C. If the specific heat capacity of tin is 230 J/kg *C (its a dot before "C" but im not exactly sure how t

A 0.7 lb block rests on top of a 0.5 lb block supported by but not attached to a spring of constant 9 lb/ft. The upper block is sudenly removed. A) Determine the maximum velocity reached by the 0.5 lb mass B) the maximum height reached by the 0.5 lb mass Please see attachment

I am trying to help my brother (in high school) understand how to solve rotational equilibrium problems. What he needs is an explanation on how to approach these problems. I understand each problem is different, but I imagine there must be a general method for solving them. I have put a problem below so that hopefully you could

A lunch tray is being held in one hand. The mass of the tray itself is 0.200 kg, and its center of gravity is located at its geometrical center. On the tray is a 1.00-kg plate of food and a 0.250-kg cup of coffee. Obtain the force T exerted by the thumb and the force F exerted by the four fingers, Both forces act perpendicular t

The graphs are attached in word document. 1. The system in the picture is in equilibruim with the string in the center exactly horizontal. Find (a) tension T 1 , (b) tension T 2 (c) tension T 3 (d) angel pheta 2. The system in the picture is in equilibrium. A concrete block of mass 225 kg hanfs from the end of the unif

On a frictionless table, a spring whose force constant is 60 nt/m has one end fixed and the other attached to mass M= 3.9 kg. A cord connects mass M to a suspended rock whose mass is m= 3.2 kg. Assume an x axis origin at the movable end of the spring when the spring contains no potential energy. At some instant, with the system

Consider an object with height h, mass M, and uniform cross sectional area A floating upright in a liquid with density p. a.) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. b.) A downward force of magnitude F is applied to the top of the object. At the

A uniform metal rod, with a mass of 3.1 kg and a length of 1.2m, is attached to a wall by a hinge at its base. A horizontal wire bolted to the wall 0.51 m above the base of the rod holds the rod at an angle of 25 degrees above the horizontal. The wire is attached to the top of the rod. (a) Find the tension in the wire.

See attached graph. A cylinder of mass M and radius R rests on an inclined plane. It is held in place by a horizontal string that is attached to the edge of the cylinder. If the angle that the plane makes with the horizontal is theta, and the coefficient of static friction between the cylinder and the plane is u, what is the

See attached diagram. Q. A 10 kg block on a table for which the coefficient of friction is 0.4 is connected to a knot K by a horizontal string. Another block of mass M hangs from point K and the string makes a 30 degree with the horizontal goes upward to a fixed wall. a. What maximum value can M be before block A starts t