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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.)

Torque, Equilibrium, & Stability

Two children are sitting on a seesaw. If one child has a mass of (m1) =22.0 kg and sits 2.30 m from the center pivot: (a) How far from the pivot must the second child (m2) = 30.0 kg sit for them to balance? (b) What is the net upward force of the pivot on the seesaw? The seesaw has a uniform mass distribution of 25 kg.

Buoyancy and Density Problem

A small cubic block of copper (Cu) is carefully dropped into a beaker half full of mercury (Hg): (a) Calculate the resulting equilibrium forces on the block (it is not bobbing or not moving) (b) Prove if the copper block will float or descend to the bottom (c) What is the fractional volume of the copper block exposed (if it d

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?

Force Balance

Find the horizontal distance between the line of action of the weight of the body and the line of action of the total vertical force exerted on the body (See attached for full question and diagram)

Beam and reactions

Calculate the magnitude of the reaction (See attached for full question and diagram)

Static equlibrium

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?

Universal Gravitation

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

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

A spring and its force constant

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.

SHM of a mass hanging from a spring.

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

Equilibrium Conditions

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