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A reciprocating roller follower has cycloidal motion and its



stroke of 30 mm is completed in 90°of the cam rotation.



The follower is offset against the direction of rotation by



6.25 mm and radius of the roller is 12.5 mm. determine the



base circle radius which would limit the pressure angle to



30°.

Develop a Java program for a lottery winning game. The secret win number is “980-6578-854-976”. The user is allowed to enter their try, up to 10 times. For any incorrect entry, the program displays “Sorry. Try Again.” For each wrong entry, the program displays number of attempts remaining. When the 10 attempts are over, it displays “You have exhausted your chances to win. Bye.” The user can also press “E” to opt out of the game any time during the attempts. If they enter the win number at any point, the program displays “CONGRATULATIONS!! YOU HAVE WON 6 MILLION KSHS.” Then allows the user to enter their name, IDNO and phone number, after which the program displays e.g. “John Kamau, IDNO 89765, Phone Number 07863539, we shall contact you on information on how to receive your price. Have a good day”.


In the mechanism shown in fig., the crank O2A makes 300




r.p.m in the conte clock wise direction as shown. Find




(i) Angular velocity of link O1A. (ii) Velocity of slider at B.

Four bar chain is given with length of links as follow:


Link 1 = 74mm, link 2 = 96 mm, link 3 = 60 mm, Link 4 = 70. Determine:


a) Whether it belong to class 1 or class 2 category of mechanisms.


b) Describe all possible inversions with explanations.

. The bush of the small end of a connecting rod is shown in Figure. Calculate


(i) the maximum and minimum diameters of the bush and connecting rod; and


(ii) the maximum and minimum interference between them

A change is made to one product page on the retail

companies’ web site. To determine if the change

does improve the efficiency of that product page, data

must be collected on the proportion of visitors to the

new page that ultimately purchase the product. It is

known that 3.2% of visitors, to the original page,

make purchases. Assume that this proportion holds for

the next 500 visitors to the new page. Use the normal

distribution to approximate the probability that,

among these 500 visitors, the number who purchase

will be

(a) 11 or fewer.

(b) 21 or more.



 It is required to design a knuckle joint to connect two circular rods subjected to an axial tensile force of 50 kN. The rods are co-axial and a small amount of angular movement between their axes is permissible. Design the joint and specify the dimensions of its components. The material for two rods and pin is selected as plain carbon steel of Grade 30C8 (Syt= 400 N/mm2 ). The Factor of safety is 5.


What is the molar concentration of Aki's disinfectant if she dissolved 5Tbsp. of NaCIO (sodium hypochlorite) in 3.8 liters of H2O (water)?


The probability density shown in Figure 5.21 is the exponential

distribution

f (x) =



0.55 e−0.55x 0 < x

0 elsewhere

Find the probability that

(a) the time to observe a particle is more than

200 microseconds;

(b) the time to observe a particle is less than


Read the questions carefully. Based on what you have learned, solve the following word problems about colligative

properties.

1. Predict the boiling point of the 1.25 m sucrose solution. Sucrose is a non-volatile, nonionized solute.

2. When 15.0 g of ethyl alcohol, C2H5OH is dissolved in 750. G of formic acid, the freezing point of the solution is

7.20°C. The freezing point of pure formic acid is 8.40°C. Evaluate Kf for formic acid.


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