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If the tension in the string were increased by a factor of four, what would be the new fundamental frequency?
One has an angular speed of 1.3 10-3 rad/s, while the other has an angular speed of 3.3 10-3 rad/s. How long will it be before they meet?
Write down the Lagrangian L for two particles of equal mass m1 = m2 = m, confined to the x-axis and connected by a spring with potential energy U.
Two springs with the same unstretched length, but different force constants and are attached to a block with mass on a level.
In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is 3b_{1}?
A 430-g soccer ball lying on the ground is kicked with a force of 800N. If the kick lasts 0.01 s, the ball flies off with a speed of.
Find the magnitude of the acceleration of the two objects and the tension in the string. Show all work.
A piece of string wraps around a cylinder 8 times. The length of the string is 14 cm. calculate the circumference of the cylinder.
When you increase your speed by 4.0 mi/h, the time to go one mile decreases by 12 s. What was your original speed?
What is the magnitude of the (horizontal) force of the father on the child just before the child is released?
Stone B collides with A head-on with a speed of 8.1m/s. After the collision stone A moves towards the wall perpendicular to it.
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/s2.
Traveling waves are set up in a pair of long strings by a simple harmonic oscillator. The strings have identical mass densities of 5.1 grams/meter.
What decision would Beverly make if she wanted to minimize her expected cost (monetary value)?
If the applied force is gradually reduced, at what value do the block and the toboggan have the same acceleration?
A single stage vibration isolation system consists of a heavy granite slab (100 kg) sitting on legs which act as a vertical damped spring.
What are Scalar and Vector quantities? Describe properties of Vectors in detail.
Express the Lagrangian of the system in terms of these coordinates and their velocities. Then introduce the coordinates n1, n2, and n3.
The system in figure is in equilibrium. A mass of 225 kg hangs from the end of the uniform strut. The tension T in the supporting cable is measured to be 6,910
The weight of the boat is 1250N and acts through point O, which is 0.8m from the point A along the line OA.
The eight figures show various situations where blocks of different weights are attached by ropes to rigidly fixed objects.
Five solid objects made of different materials are placed in a tub of water. The objects are cubes made of wood, ice, aluminum, steel and gold.
If a mass of 600.0 g is hung from the bottom of a vertical spring, the spring will stretch 28.0 cm. Now the hanging mass is removed.
A scaffold of mass 35 kg and length 5.8 m is supported in a horizontal position by one vertical cable at each end.
A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height.