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 store you find that rope is sold in increments of 1/8 of an inch diameter and that the safety rating is 4000 pounds per square inch of cross section.

A 5.0 kg block hangs from a spring with spring constant 2000 N/m. The block is pulled down 5.0 cm from the equilibrium position and given an initial velocity of 1.0 m/s back toward equilibrium. What are (a) the frequency, (b) amplitude, (c) phase constant and (d) the total mechanical energy of the motion (e) write the equation

A fun-loving 11.4 kg otter slides up a hill and then back down to the same place.
she starts up at 5.75m/s and returns at 3.75m/s , how much mechanical energy did she lose on the hill?
change of (E (mech))= ? J
what happened to the energy?

A steel ball weighing 128 pounds (mass= 4 slugs) is suspended from a spring. This stretches the spring 128/485 feet.
The ball is started in motion from the equilibrium position with a downward velocity of 9 feet per second.
The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet p

Problem:
Problem:
a. what is the force acting through (F) required to hold the lever in static equilibrium? Indicate clearly the Force and resistance vectors due to the weight, the force moment arm and the resistance moment arm, as well as the axis. Note that the weight is 40 kg and gravity is g=9.81 m/s2.
b. What would be

The height of the upper falls at Yellowstone Falls is 33.2 m. When the water reaches the bottom of the falls, its speed is 25.8 m/s. Neglecting air resistance, what is the speed of the water at the top of the falls?

A block with mass attached to a horizontal spring with force constant is moving with simple harmonic motion having amplitude. At the instant when the block passes through its equilibrium position, a lump of putty with mass m is dropped vertically onto the block from a very small height and sticks to it.
For this value of m, w

Suppose the labor force decreases in size due to a large number of people reaching retirement age and subsequently entering retirement. At the same time real interest rates in the economy fall. What will happen in the economy?
1) Equilibrium price in the economy will rise, equilibrium quantity is ambiguous.
2) Equilibri

A block of mass M slides along a horizontal table with speed Vo. At x=0 it hits a spring constant k and begins to experience a frictional force. The coefficient of friction is a variable and is given by u=bx, where b is a constant. Find the loss in mechanical energy when the block has come momentarily to rest.

Problem:
Consider the following gas-phase equilibrium reaction:
N2(g) + 02(g) <-- (double arrow for equilibrium) --> 2NO(g)
Kc = 4.10 X 10 ^-4 at 2000 Degrees Celsius.
If 1.0 mol of NO is introduced into a 1.0 L container at 2000 Degrees Celsius, what is the concentration of NO when equilibrium is reached.