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A block is started from rest at the top of an inclined plane 6 meters long which makes 45 degrees with the horizontal. The coefficient of friction between the block and the plane is 0.20. At the foot of the plane, the block continues to move along a horizontal surface. If the coefficient of friction between the block and the horizontal surface is 0.15, how far does the block go along the horizontal surface? 


A small particle is placed at the edge of a phonograph turntable of diameter 30 cm. If the turntable rotates at 45 revolutions per minute, what must be the coefficient of friction so the particle will bot slide out?


In figure 25, the following are given: m1 = 10 kg, m2 = 5 kg, θ=60o, and the coefficient of friction between the inclined plane and block m1 is 0.10. When the system is in motion after being released from rest, what is (a) the tension in the string and (b) the acceleration of the system?


In figure 25, a block of mass m1 is on a plane inclined at angle θ with the horizontal. It is attached to another mass m2 by means of a string, that passes over a pulley at the top of the incline. For m1 = 6 kg, m2 = 4 kg, θ = 10o, and the coefficient of kinetic friction between the incline plane and m1 is 0.20, find the (a) acceleration of the masses and (b) tension in the string when the system is moving.


Two bodies 5 kg and 6 kg masses are connected by a string on a double frictionless inclined plane as shown in the figure below. If the 6 kg mass starts from the top of the plane and the length BC is 8m, find the velocity of the 6 kg body when it reaches the bottom of the plane.


Two masses are connected and placed on an frictionless inclined plane which makes 30o with the horizontal as shown in the figure below. The system is then pulled with a string which is parallel to the plane. If the pull in the string is 60 N, m1 = 4kg and m2 = 2kg, find the tension in the tension in the string which connects the two masses.




Two masses 6.0 kg and 9.0 kg are hung from the two ends of a cord which passes over a smooth pulley so that the two masses hang freely. If initially the 9.0 kg mass is 4 meters from the floor, how long will it take this mass to reach the floor after the masses are released? 


A plane of mass 1500 kg takes off with a speed of 200 km/h at the end of a runway 1 km long. If it starts from rest at the other end of the runway, find the average force being exerted by the propellers during takeoff (neglect friction).


Assume that there is parking area in front of a shop whose capacity is 10. No more than 10 cares are allowed inside the parking area and the parking gate is closed as soon as the capacity is reached. There is a gate sensor to detect the entry of a car which is to be synchronized with the clock pulse. Design and implement a suitable counter using JK flip flops. Also determine the number of flip flops to be used if the capacity is increased to 50.
Design a 6-bit binary asynchronous counter using J-K (rising) flip-flops. Then redesign this counter that counts from 0 to 48 and restarts from 0 when number is greater than 48. Show all steps of your design.
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