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Equilibrium

Simple Harmonic Motion: Coupled spring and pendulum system

Please go to the word document, which includes a graph and explains better. It should be much easier to understand it on word. A mass M1 on a frictionless plane is connected to a support O by a spring of stiffness k. Mass M2 is supported by a string of length l from M1. a. What are the forces acting on M1 and M2? b. By a co

Physics: Free-body Diagram

(See attached file for full problem description) --- 6. A 25 kg mass is supported by ropes as shown... --- A 25-kg mass is supported by ropes as shown. Draw a free-body diagram of the "knot" where the ropes join. Use this to determine the tension in each of the ropes.

Oscillations and Equilibrium

The velocity of a simple harmonic oscillator is given by: v = -9.55sin(21.8t) (mks units) a.) What is its angular frequency? b.) What is the amplitude of the motion in meters to two decimal places? c.) To the nearest hundredth of a meter where is the mass at the time t=18.29 seconds? d.) If the mass in letter c

Equilibrium: Force on the legs of table with a cat on it.

The top view of a table, with weight W_t, is shown in the figure. The table has lost the leg at ( L_x, L_y), in the upper right corner of the diagram, and is in danger of tipping over. Company is about to arrive, so the host tries to stabilize the table by placing a heavy vase (represented by the green circle) of weight W_v at (

The mobile in the figure below is in equilibrium.

The mobile in the figure below is in equilibrium. The object B has mass of 0.860 kg. Determine the mass of object C. Assume L1 = 30.6 cm, L2 = 7.90 cm, L3 = 15.0 cm, L4 = 5.00 cm, L5 = 16.9 cm and L6 = 5.00 cm. (Neglect the weights of the crossbars.)

What is the tension in the string?

A 5.0 N uniform meter stick is pivoted so that it can rotate about a horizontal axis through one end. If a 0.15 kg mass is suspended 75 cm from the pivoted end, what is the tension in the string? Please see the attached picture for the arrangement.

Equilibrium and Force Distribution Problem

A uniform steel beam has a mass of 1178kg. On it is resting half of an identical beam, as shown in the figure attached. What is the vertical support at the right end. How about at the left end?

Static Equilibrium for an Exercise Regime

Q2- as a part of an exercise regime,,a lady lifts herself up from standing position at the rest,wth wait distributed normally across the soles of her feet,onto tiptoe(standing on 2 feet)which muscle group she is exercising ?is it possible to achieve the static equilibrium by loading only one muscle group?if so draw a free body d

Statics -- Equilibrium

Please look at the attached problem 5-20: Determine the reactions at the points A and B of the frame. I know that the following must hold true: Sum(Moments(b)) = 0 Sum(Fx) = 0 Sum(Fy) = 0 No moment is indicated in the problem, so I'm not sure if that's needed. Your help is appreciated.

Fluid mechanics

A beaker of mass m-beaker containing oil of mass m-oil (density = p-oil) rests on a scale. A block of iron of mass m-iron is suspended from a spring scale and completely submerged in the oil. Determine the equilibrium readings of both scales.

Vertical Mass-and-Spring Oscillator

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

Physics (solving for optimal diameter of rope to support given weight)

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

Submerged Block

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

Walking the Plank

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

Translational Equilibrium

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?

Vector polygon to solve for the forces on a block in equilibrium on a plane.

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

Equilibrium Condition Functions

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

Speed of Blocks on an Incline

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

Equilibrium/torque

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

Torques on a boom in equilibrium.

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 door in equilibrium requiring application of net torque equal to zero.

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

Spring supporting two blocks without friction

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

Rotational equilibrium

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

Rigid Objects in Equilibrium, Center of Gravity

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

Tension - Equilibrium and Elasticity: Five problems

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

Simple harmonic motion of a mass on a spring

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

Fluid Mechanics: bouyance, harmonic motion, period

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