A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.7 kg and the sign has a mass of ms = 17.4 kg. The length of the beam is L = 2.83 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is θ = 34.5°.

1)What is the tension in the wire?

2)What is the net force the hinge exerts on the beam?

3)The maximum tension the wire can have without breaking is T = 946 N. What is the maximum mass sign that can be hung from the beam?

Two charges are placed on the x axis. One of the charges (q1 = +7.73C) is at x1 = +3.00 cm and the other (q2 = -23.7C) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm.

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.200 rev/s . The magnitude of the angular acceleration is 0.883 rev/s2 . Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.760 m .

Two particles are fixed on an x axis. Particle 1 of charge 51.4 μC is located at x = -22.8 cm; particle 2 of charge Q is located at x = 10.8 cm. Particle 3 of charge magnitude 20.8 μC is released from rest on the y axis at y = 22.8 cm. What is the value of Q if the initial acceleration of particle 3 is in the positive direction of (a) the x axis and (b) the y axis?

Please let me know about the material structure and properties of Solar energy devices.

Two stationary positive point charges, charge 1 of magnitude 3.45nC and charge 2 of magnitude 1.80nC , are separated by a distance of 40.0cm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. What is the speed

5. Prove the Snell’s Law using:
   1. The fact that an homogeneous surface does not change the transversal momentum of the wave (Photon).
   2. Maxwell’s equations.
   3. The variational principle or Fermat’s principle.

Point charges of 9.00 nC are situated at each of three corners of a square whose side is 0.450 m .

a. What is the magnitude of the resultant force on a point charge of -4.00 μC if it is placed at the center of the square?

b. What is the magnitude of the resultant force on a point charge of -4.00 μC if it is placed at the vacant corner of the square?

Discuss the basic aspects of Tight-binding approximation (what is it, how and when this model is applicable, it's motivation, why is it important, it's limitations)? What are the differences and similarities of tight-binding model and free-electron model?

The speed of a projectile when it reaches its maximum height is 0.56 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?

A communications satellite is in a synchronous orbit that is 3.47

Two cars collide at an intersection. Car A, with a mass of 2000 kg , is going from west to east, while car B, of mass 1400 kg , is going from north to south at 14.0 m/s . As a result of this collision, the two cars become enmeshed and move as one afterwards. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of 60.0 ∘ south of east from the point of impact. How fast were the enmeshed cars moving just after the collision? How fast was car A going just before the collision?

An 7.5 g ice cube at −10°C is put into a Thermos flask containing 150 cm³ of water at 21°C. By how much has the entropy of the cube–water system changed when equilibrium is reached? The specific heat of ice is 2220 J/kg · K. (The latent heat of fusion for

water is 333 kJ/kg.)

A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.655 m in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.190 m at each side of the wheel, and a woman holds the ends of the shaft in her hands. The mass of the system is 9.50 kg ; its entire mass may be assumed to be located at its rim. The shaft is horizontal, and the wheel is spinning about the shaft at 4.90 rev/s .

a) Find the force each hand exerts on the shaft when the shaft is at rest.

b) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 4.80×10^?2 rev/s .

c) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 0.320 rev/s .

d) At what rate must the shaft rotate in order that it may be supported at one end only?