Q- A block of mass m = 10 kg is pulled from rest, on a horizontal surface by a massless rope passing over a pulley of same mass m = 10 kg, radius R = 0.25 m and moment of inertia I = 1.2 kg m2, rotates freely about its axis. The force applied at the end of the rope is P = 750 N. If the coefficient…

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### Magnetic Circuit

Q- Find the current necessary to stablish a flux of ø = 3*10^{-4} Wb in the series magnetic circuit (shown in figure) consist of two parts of cast iron and steel cores. Length of each core is *l* = 0.3 m and the area of cross-section is A = 5*10^{-4} m^{2}. Relative permittivity of cast iron is 5000 and that …

### Ray Optics: Refraction

Q- The drawing shows a glass slab (*n* = 1.4) with a rectangular cross section. A ray of light strikes the slab at an incident angle of θ_{1} = 45°, enters the slab, and travels to point *P*. This slab is surrounded by a fluid with a refractive index *n*. What is the maximum value of *n* such that total int…

### Electric Potential

Q- Ohmic heating raises the temperature of a tungsten filament to the point that electrons begin to "boil" off. A high voltage power supply establishes an accelerating potential difference of 900 V between the filament and a circular metal disk located 2.0cm away. The disk diameter is 1.0cm. Assumin…

### Newton's Laws Of Motion

Q- A body (weight 3000N) is supported by a bracket through a vertical cable. The bracket is composed of a horizontal bar and an inclined bar, both are rigidly fastened to the wall. Neglecting the weight of the bars and the cable, determine the magnitude of the reaction R_{1} exerted by the lower fixtur…

### Rotation: Rotor and Shaft

Q- A mirror is to be meant to oscillate at 10 cycles per minute and turns 30 degrees either side of the center line. The radius of the rotor is r and the length of the shaft L (considerably large). At what distance d from the center of the mirror the shaft is to be pinned and what is the distance of…

### Poynting Vector: E and B Fields In EM Waves

Q- A radio transmitter on the Earth’s surface radiates a sinusoidal wave with an average total power of 50 kW. Assuming that the transmitter radiates equally in all directions above the ground calculate the amplitudes E_{max }and B_{max }detected by a satellite positioned 100 km from the transmitter.

### Center Of Mass

Q- Three particles, each with a mass of 0.25 kg, are located at ( - 4.0 m, 0), (2.0 m, 0), and (0, 3.0 m) and are acted on by forces F_{1} = 3 N along negative y-direction, F_{2} = 5 N along positive y-direction and F_{3} = 4 N along x direction respectively. Find position of center of mass of the system a…

### Fluids: Hydrodynamics

Q- A container full of air at atmospheric pressure is 3 feet below the surface in a large body of water; this container is 8 feet high by 3 feet square. A 16-inch ID valve is on the bottom of the container and a 2-inch valve is on the top. A 2-inch ID hose connects to this valve and extends 1 foot a…

### Head-on Collision

Q- A 1000 kg car traveling east at 25 mph gets rear-ended hit by a truck weighing 1500 kg also moving east. After collision the vehicles lock bumpers and continue moving east at 40 mph.

(a) What was the original speed of the truck

(b) How much kinetic energy of the system lost during this collisi…

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