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The period of oscillation of a 7.49-kg body is suspended at a point 0.22 m from its center of mass is 6.45 s. Find the moment of inertia about an axis through the pivot point of the body. Round off your final answer to two decimal places.


A pendulum has a string of length 0.58 meters supporting it. Beside it is a mass connected to a spring of spring constant 61.56 N/m. What should be the mass of the object connected to the spring so that the two oscillating systems can resonate with each other?


In a two-level system find the ratio of coefficient of spontaneous emission,


A21 at 80 GHz to A21 at 10 GHz in steady state condition.

In a two-level system find the ratio of coefficient of spontaneous emission,


A21 at 80 GHz to A21 at 10 GHz in steady state condition.

a railroad engine moves forward along a straight section of track for a distance of 15 m due west at a constant speed of 3.4m/s. It then immediately stops, reverses its direction and travel east at a constant speed of 4.3m/s.

a) What is the time required for the entire process?



An old-style elevator is connected to a counterweight by a cable that passes 

over a rotating disk that is 3.7 meters in diameter. With the cable not slipping and turning with the disc, the elevator is raised and lowered by turning the disc. a. How many turns should the disc make to raise the elevator at 0.5 m/s. b. The elevator should accelerate at a quarter of the acceleration due to gravity 

to start the elevator moving. Calculate the disc's angular acceleration. c. How many revolutions has the disc spun when it has raised the elevator 5 

m between floors? 




If a cyclist is traveling along a road due East at 10km/h and a wind is from South West at 3km/h .Find the velocity of the wind relative to the cyclist



The buoyant force on a pool raft with a surface area of 2 square meters is 36 N. How large is the upward pressure on the raft?


Express /phi/ of spherical coordinates in terms of  Cartesian Unit vectors. 

1) A 96.9-J work is done on spring by stretching it a distance of 13.6cm. How much energy (in J) is stored in the spring?

Select one:

a. 96.90

b. 1317.84

c. 7.13

d. 83.30

 

2) A block of mass 8.7-kg sits on a frictionless table and is connected to a horizontal spring whose spring constant is 68.4-N/m. The block is moved to compress the spring by a distance of 5.1-cm before releasing the system from rest. Determine the maximum speed of the block.

 

3) A concrete block with a mass of 7.7-kg was accidentally dropped by a worker at a construction site from a scaffold which is 21-m above the ground. Calculate how much gravitational potential energy the block possesses after falling half the distance. Ignore the effects of air resistance.

Select one:

a. 1585 J

b. 792.330 J

c. 162 J

d. 80.85 J


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