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Block 1 of mass 𝑚1 = 2 𝑘g is placed on block 2 of mass 𝑚2 = 3 𝑘g which is then placed on a table. A string connecting block 2 to a hanging mass 𝑀 passes over a pulley attached to one end of the table, as shown in Fig. 1. The mass and friction of the pulley are negligible. The coefficients of friction between block 1 and block 2 are 𝜇1s = 0.2, 𝜇1k = 0.1 and between block 2 and the tabletop are 𝜇2s = 0.3, 𝜇2k = 0.15


(a) (Marks: 3) Draw the complete free body diagram of the system and determine the largest value of 𝑀 for which the blocks can remain at rest.

(b) (Marks: 4) Now suppose that 𝑀 = 2.5 𝑘g which is large enough so that the hanging block descends and block 1 slips on block 2. Draw the complete free body diagram of the system and determine each of the followings.

i. The magnitude 𝑎1of the acceleration of block 1.

ii. The magnitude 𝑎2 of the acceleration of block 2.




For a transmission line the per unit length parameters are 0.1 Ohm/m, 0.2 uH/m, 10pF/m, and 0.02 Mho/m find the complex propagation constant at a frequency 1MHz

Calculate electric field intensity due to a spherical charge distribution given as ρ(x)=ρ°{1-(x²/R²)} , x≤R




And ρ(x)=0; x>R at external point, at surface and at internal point.

a uniform plane wave with 25V/m electric field is normally incident on an infinitely thick slab of a material of dielectric constant 5 find the electric field just inside the slab surface

a dielectric material has relative permittivity 18 and loss tangent 10^-3 at 100 MHz find the conductivity of the medium

A stone tied to a .string whrilari a horizontal circle with a constant tangantial speed of 20m/s if the length of the string is 25cm. find the centripetal acceleration


A subject is on 60m above from ground and weight is 5kg. After 3 sec what's it's distance from ground?

Isaac applies a force of 40 N at an angle of 60 degrees up from the horizontal to a wooden rod using a spring scale. If he generates a torque of 73m.N, how long was the rod? Show the givens, required, equations to be used, calculations and final answer

A ball is thrown from a height of 19 m at an angle of 0 degrees. If it lands 1.9 m away how fast was it thrown?


Determine the energy of a swinging pendulum bob at its highest position, at the middle position, and at its lowest position which will be considered the reference level. The length of the string is 1 m and the height of its highest position is 1.5 m. The mass m of the bob is 0.20 kg.



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