Physics Assignment Help: 30-kg hanging object is connected by a light..

Q) 30-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table. Taking the coefficient of kinetic friction as 0.162, find the tension in the string.

Sol:

It’s given that M1=5kg, M2=30kg, Also M1 is moving with acceleration a, caused by the Tension in string: T_s, and the friction, F_r, Hence aM1= T_s - uM1g, where u= coefficient of kinetic friction.

Similarly, the mass 30kg is moving with the same above acceleration a by the forces of weight and the Tension in the string,

Hence aM2=M2g- T_s

By adding the above two equations we get,

a= (M2g-uM1g)/ (M1+M2)

Therefore the tension in the string is given by,

T_s = M1g (M2-uM1)/ (M1+M2) +uM1g

By substituting the values in the above equation, we get

T_s = [5*9.8*(30-0.162*5)/ (5+30)] +0.162*5*9.8

  = 48.8N

Networking Assignment Help: What specific steps can be taken to improve security in WLANs...

Q)What specific steps can be taken to improve security in WLANs?

Sol:

 The below steps can be taken to improve the security in WLANs:

a) Initially wireless network has to be authorized and authenticated.

b) Also all the users try to get connected to that particular has to be authorized and authenticated.

c) Every user connected to the network has to be uniquely identified by their own unique username and password.

d) Multiple users with same username and password should not be allowed to connect to the network.

e) Every user has to be properly disconnected so that no one in queue must be able to continue to get connected to the network with their username and password.

Physics Homework: What current in the solenoid would be needed to produce a field of..

Q)
What current in the solenoid would be needed to produce a field of 1.5×10−3 T but in the opposite direction?

Sol:

From question 2, magnetic field of 1.6*10^-3, produces 2400 turns

Hence, magnetic field of 1.5*10^-3, produces 2250 turns

Magnetic field, B=u_o*n*I

Current, I = 1.5*10^-3/(4*pi*10^-7*2250)= 0.53A

Physics Homework: Find the acceleration of the two blocks?

Q) In the drawing, the weight of the block on the table is 432 N and that of the hanging block is 220 N. Ignore all frictional effects, and assuming the pulley to be massless.

(a) Find the acceleration of the two blocks.
m/s2

(b) Find the tension in the cord.
N

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Physics Homework: What is the magnitude of the lift force?

The helicopter in the drawing is moving horizontally to the right at a constant velocity. The weight of the helicopter is W = 59500 N. The lift force generated by the rotating blade makes an angle of 21.0° with respect to the vertical.

(a) What is the magnitude of the lift force?


(b) Determine the magnitude of the air resistance that opposes the motion.

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TTH50010

Briefly explain the term concyclic.

Hint*: Maths - Geometry

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TTH50001

Write a conclusion on dry type transformers when compared to oil type transformers?

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Mathematics Help

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Please solve the following system of exponential equations: 1=ae^11b+c

3=ae^9b+c

10=ae^6b+c.
Show all steps and briefly explain the steps as you go.
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 Customers arrive at a supermarket check-out counter following a Poisson distribution with an average arrival rate of 5 customers per hour. 

18. What is the probability of more than 5 customers arriving at the supermarket check-out counter in a given one hour period?

A. 0.56
B. 0.44
C. 0.38
D. 0.71
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A certain state is contemplating creating a weekly lottery, the revenues from which will be used to fund improvements in the state’s public education system. The commission chartered to develop the guidelines for the proposed lottery envisions using a process whereby six (6) balls will be randomly selected from a single bin containing a total of forty (40) balls, each of which is individually numbered 1 through 40, in order to determine the winning lottery numbers each week. Once a given ball has been randomly selected it will not be placed back in the bin before selecting the next ball. The commission is currently debating whether an individual should be required to pick the winning lottery numbers in a specific order or be allowed to pick them in a random order.

2. Assuming that the order in which the winning lottery numbers are selected is relevant (i.e., is important), what is probability of someone correctly selecting the six (6) winning lottery numbers?

A. 0.00000000026
B. 0.00000000066
C. 0.00000000036

D. 0.00000000078

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 (a) Determine a matrix that shears horizontally by a factor of 2 and then rotates anticlockwise about the origin by 45 degrees. Show graphically the effect of the transformation on the unit square.

(b) The mesh equations of a circuit are given by

i_1 + 1_2 + 2i_3 = 9
4i_1 + 4i_2 - 3i_3 = 3
5i_1 + i_2 + 2i_3 = 13

Check for diagonal dominance and solve the system of equations using Gauss-Siedel iteration. Perform three iterations with the zero vector and retain four decimal places in your working.

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 1 - Use the dual simplex method to solve the following LP:

Max Z = -2X1 - X3
s.t. X1 + X2 – X3 >= 5
X1 - 2X2 + 4X3 >=8
X1, X2, X3 >=0

2 – Use the simplex algorithm to find the optimal solution to the following LP:
Min Z = -4X1 + X2
s.t. 3X1 + X2 <= 6
- X1 + 2X2 <=0
X1, X2 >= 0

3 - A bank has two sites at which checks are processed. Site 1 can process 10,000 checks per day, and site 2 can process 6000 checks per day. The bank processes three types of checks: vendor, salary, and personal. The processing cost per check depends on the site (table below). Each day 5000 checks of each type must be processed. Formulate a balanced transportation problem to minimize the daily cost of processing checks. Only complete formulation needs to be submitted. Do not solve.

Site1 Site2
Vendor checks 5 cents 3 cents
Salary checks 4 cents 4 cents
Personal checks 2 cents 5 cents

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