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# Equilibrium

### Oscillation and Equilibrium

a) A 0.24-kg mass is attached to a spring with spring constant 6.1 N/m and let fall. To the nearest hundredth of a meter what is the point where it 'stops'? b) What is the amplitude of the resulting motion? See the attached file.

### 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.)

### Mass on a rope between two walls

A mass is hung on ropes between two walls, as shown in the diagram. The tension in the rope on the right, which is horizontal, is 20.0 N. (A) Find the tension in the rope on the left. (B) Find the mass that is hanging. (Answers: 26.1 N, 1.7 kg) Graphic is attached.

### Harmonic motion: Speed of a mass displaced from equilibrium; potential and kinetic energy of system

A mass of 450 g is attached to a spring with a force constant of 13.2 N/m. The mass is displaced 32 cm from equilibrium and released. (a) What is the speed of the mass when it is 13 cm from equilibrium? (b) Calculate the potential and kinetic energy of the system at t = T/6.

### Charged Articles Fixed in Place on an Axis

Please see attached files. Place step by step solutions and answers on separate piece of paper and give answer please. Draw pictures if needed. 3. Figure 21-14 shows four situations in which charged particles are fixed in place on an axis. In which situations is there a point to the left of the particles where an electron

### 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

### Torque, Equilibrium, and Stability

While standing on a long board resting on a scaffold, a 70 kg painter paints the side of a house. The boards length across the scaffolding is: end of board to scaffold is 1.5m, then from one end of the scaffold to the other end of the scaffold is 2.5m, then from the end of scaffold to end of the board is 1.5m. If the mass of t

### 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 Horizontal Distance

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 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.

### Buoyant Force of a Balloon

A helium filled balloon is tied to a 2.00 m long, .050 0-kg uniform string. The balloon is spherical with a radius of 0.400 m. When released, it lifts a length h of string and then remains in equilibrium. Determine the value of h. The envelope of the balloon has mass of 0.250 kg.

### Physics Problems: Displacement, Velocity, Acceleration, Frequency, Equilibrium Position, Sound Intensity

32. A 0.50-kg mass oscillates in simple harmonic motion on a spring with a spring constant of 200 N/m. What are: a) The period? b) The frequency of the oscillation? 48. The equation of motion of a particle in vertical SHM is given by y = (10 cm) sin 0.50t. What are the particle's: a) Displacement? b) Velocity? c) Acc

### 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?

### 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

### Harmonic Oscillator Kinematics

One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be x=0. The length of the relaxed spring is L... (see attached) Please do not place your

### 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

### Relating Pressure and Height in a Container

Please do not place your response in a .pdf or .cdx format, but Word documents are okay. Thanks! Please see attached for actual problem.

### 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?

### Gravitational Equilibrium Point.

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

### Rope hanging between two trees - find the tension

A uniform rope of weigh W hangs between two trees; The ends of the rope are the same height, and they each make angle teta with the trees Find the tension at either end of the rope. Find the tension in the middle of the rope.

### Vector solution of a ring in equilibrium with three acting forces.

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.