A 40.0-kg child stands at one end of a 70.0-kg boat that is 4.00 m long. The boat is initially 3.00 m from the pier. The child notices a turtle on a rock beyond the far end of the boat and proceeds to walk to that end to catch the turtle. (a) Neglecting friction between the boat and water, describe the motion of the system (child plus boat). (b) Where will the child be relative to the pier when he reaches the far end of the boat? (c) Will he catch the turtle? (Assume that he can reach out 1.00 m from the end of the boat.)
Monday, 14 May 2012
A 5.00-g bullet moving with an initial speed of 400 m/s is fired into and passes through a 1.00-kg block, as in Figure. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 900 N/m. If the block moves 5.00 cm to the right after impact, find (a) the speed at which the bullet emerges from the block and (b) the mechanical energy lost in the collision.
Pendulum
A simple pendulum is 5.00 m long. (a) What is the period of simple harmonic motion for this pendulum if it is located in an elevator accelerating upward at 5.00 m/s2? (b) What is its period if the elevator is accelerating downward at 5.00 m/s2? (c) What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally at 5.00 m/s2?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is pulled horizontally so that it stretches the spring 5.00 cm and is then released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency ω, the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (e) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s.
Tires
While riding behind a car traveling at 3.00 m/s, you notice that one of the car’s tires has a small hemispherical bump on its rim, as in Figure. (a) Explain why the bump, from your viewpoint behind the car, executes simple harmonic motion. (b) If the radius of the car’s tires is 0.30 m, what is the bump’s period of oscillation?
Tuesday, 8 May 2012
An ancient rangefinder (roman dodecahedron)
According to Wikipedia, "a rangefinder is a device that measures distance from the observer to a target, for the purposes of surveying, determining focus in photography, or accurately aiming a weapon. Some devices use active methods to measure (such as sonar, laser, or radar); others measure distance using trigonometry (stadiametric rangefinders and parallax, or coincidence rangefinders). These methodologies use a set of known information, usually distances or target sizes, to make the measurement, and have been in regular use since the 18th century".
It could be surprising, but probably the Roman Army had a rangefinder. This was the Roman Dodecahedron.
Just recently, I learned about this “mistery” of archaeology: the roman dodecahedron. After preparing a copy of a specific object, I proposed a paper on arXiv, explaining that it can be used for measuring distance (as a telemeter/rangefinder). http://arxiv.org/abs/1204.6497 (In Italiano a http://porto.polito.it/2497004/ )
For me, those dodecahedrons having a structure with holes of different sizes, are military instruments to evaluate distances for ballistics. It is simple to use. Of course, later, during the Middle Age, different instruments had been developed for surveying: the dodecahedron was of the Roman Army, and, probably, its use lost after the collpase of the Empire.
It could be surprising, but probably the Roman Army had a rangefinder. This was the Roman Dodecahedron.
Just recently, I learned about this “mistery” of archaeology: the roman dodecahedron. After preparing a copy of a specific object, I proposed a paper on arXiv, explaining that it can be used for measuring distance (as a telemeter/rangefinder). http://arxiv.org/abs/1204.6497 (In Italiano a http://porto.polito.it/2497004/ )
For me, those dodecahedrons having a structure with holes of different sizes, are military instruments to evaluate distances for ballistics. It is simple to use. Of course, later, during the Middle Age, different instruments had been developed for surveying: the dodecahedron was of the Roman Army, and, probably, its use lost after the collpase of the Empire.
Monday, 7 May 2012
Seguite questo link
http://ia700400.us.archive.org/33/items/AP_Physics_B_Lesson_20/Container.html
trovate una discussione su orbite dei pianeti e satelliti.
Risolvete i quesiti proposti.
http://ia700400.us.archive.org/33/items/AP_Physics_B_Lesson_20/Container.html
trovate una discussione su orbite dei pianeti e satelliti.
Risolvete i quesiti proposti.
Thursday, 3 May 2012
Domanda di teoria - 2013 - Stevino
Domanda di teoria - 2012
Discutere la statica di fluidi, legando il gradiente della pressione alle forze di volume.
Per preparare la risposta, usate il file ppt sul portale
Per preparare la risposta, usate il file ppt sul portale
Wednesday, 2 May 2012
Dodecahedral Sound Source
Some builders of acoustics sources produce dodecahedral loudspeakers. These sources have the characteristic to be omni-directional. This is one of important requirements for the sound source thatcan be create from various spherical polyhedrons. The paper: CHIN. PHYS. LETT. Vol. 27, No. 12 (2010) 124302, Directivity of Spherical Polyhedron Sound Source Used in Near-Field HRTF Measurements, by YU Guang-Zheng, XIE Bo-Sun, RAO Dan, is investigating the directivities of the spherical tetrahedron, hexahedron and dodecahedron sound sources.
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