Question: Important parameters for this assignment Table 1: Default parameters for kinematics and kinetics ...
Important parameters for this assignment
Table 1: Default parameters for kinematics and kinetics analysis of cricket bowling
Velocity of bowler’s run = 8 m/s
Length of arm = 0.8 m
Height of ball at release = 2.4 m
Mass moment of inertia of the arm, I = 0.64 kgm^2
Length of a cricket pitch = 20 m
Coefficient of restitution between ball and pitch = 0.8
Question 1. By considering work and energy conservation (not covered in this unit), we arrive at the following equation that relates torque (T [Nm]), angular displacement (? [rad]), the mass moment of inertia of the arm (I [kg m2]), and angular velocity (? [rad/s]): ???? = 1/2* ????^2 Use the above expression to calculate the linear tangential velocity of the ball, v [m/s] when it is released by the bowler after a rotation of 225°, with an estimated torque applied to the shoulder of 100 Nm (Figure 1). (1 mark)
Question2. The linear tangential velocity of the ball, v you have calculated in Question 1 is relative to the bowler. Furthermore, it is directed an angle, ? of 5° below the horizontal (see Figure 3). Given that the bowler was running at a horizontal velocity (vbowler) of 8 m/s during the release, use your knowledge of vector arithmetic to calculate:
(a) The absolute velocity vector of the ball after release.
(b) The magnitude of the ball’s absolute velocity after release.
After being released, the ball will follow a defined trajectory as it falls to the ground under the influence of gravity.
Question 3 Use your knowledge of particle kinematics to determine:
(a) The velocity vector of the ball just before it hits the ground.
(b) The magnitude of the ball’s velocity just before it hits the ground.
The ball will bounce after it hits the ground. We can simulate the trajectory of this bounce using the principle of conservation of linear momentum and the coefficient of restitution. Unlike the 1D rectilinear motion example covered in lectures however, we are dealing with a 2D coordinate system here. Thus, we will need to perform our analysis in each of the x and y-coordinates separately to determine the velocity of the ball after impact with the ground.
Question 4. By considering conservation of momentum and the coefficient of restitution, calculate: (a) The velocity vector of the ball after impact with the ground.
(b) The magnitude of the ball’s velocity after impact with the ground.
Hint: The velocity of the ground remains 0 [m/s] before and after impact, and you may assume that the impact dominantly affects the vertical speed of the ball.
In: Mechanical Engineering
The comparative statements of Bramble Interiors Ltd. are presented as follows:
| BRAMBLE INTERIORS LTD. Income Statement For the Year Ended December 31 |
||||
| 2021 | 2020 | |||
| Net sales | $2,159,750 | $1,836,500 | ||
| Cost of goods sold | 1,145,000 | 1,019,500 | ||
| Gross profit | 1,014,750 | 817,000 | ||
| Selling and administrative expenses | 500,000 | 491,000 | ||
| Income from operations | 514,750 | 326,000 | ||
| Other expenses and losses | ||||
| Interest expense | 14,000 | 16,000 | ||
| Income before income taxes | 500,750 | 310,000 | ||
| Income tax expense | 108,275 | 82,000 | ||
| Profit | $392,475 | $228,000 | ||
| BRAMBLE INTERIORS LTD. Balance Sheet December 31 |
||||||
| Assets | 2021 | 2020 | 2019 | |||
| Current assets | ||||||
| Cash | $80,000 | $129,100 | $114,200 | |||
| Accounts receivable | 188,600 | 106,400 | 102,400 | |||
| Inventory | 213,800 | 143,000 | 114,500 | |||
| Total current assets | 482,400 | 378,500 | 331,100 | |||
| Property, plant, and equipment (net) | 647,700 | 601,300 | 510,300 | |||
| Total assets | $1,130,100 | $979,800 | $841,400 | |||
| Liabilities and Shareholders’ Equity | ||||||
| Current liabilities | ||||||
| Accounts payable | $289,175 | $169,000 | $144,400 | |||
| Income taxes payable | 40,000 | 47,000 | 45,500 | |||
| Total current liabilities | 329,175 | 216,000 | 189,900 | |||
| Bonds payable | 190,000 | 195,000 | 200,000 | |||
| Total liabilities | 519,175 | 411,000 | 389,900 | |||
| Shareholders’ equity | ||||||
| Common shares | 280,000 | 280,000 | 300,000 | |||
| Retained earnings | 330,925 | 288,800 | 151,500 | |||
| Total shareholders’ equity | 610,925 | 568,800 | 451,500 | |||
| Total liabilities and shareholders’ equity | $1,130,100 | $979,800 | $841,400 | |||
Additional information:
| 1. | All sales were on account. | |
| 2. | Weighted-average common shares in 2021 were 52,000 and in 2020 were 54,000. |
(a)
Calculate the following ratios for 2021 and 2020. (Round earnings per share, current ratio, acid-test ratio and asset turnover answers to 2 decimal places, e.g. 1.83 or 1.83% and all other answers to 1 decimal place, e.g. 1.5 or 1.5%. Use 365 days for calculation.)
|
2021 |
2020 |
|||||||
| 1. | Gross profit margin | % | % | |||||
| 2. | Profit margin | % | % | |||||
| 3. | Earnings per share |
$ |
$ |
|||||
| 4. | Receivables turnover | times | times | |||||
| 5. | Collection period | days | days | |||||
| 6. | Inventory turnover | times | times | |||||
| 7. | Days sales in inventory | days | days | |||||
| 8. | Return on common shareholders’ equity | % | % | |||||
| 9. | Return on assets | % | % | |||||
| 10. | Current ratio | |||||||
| 11. | Acid-test ratio | |||||||
| 12. | Asset turnover | times | times | |||||
| 13. | Debt to total assets | % | % | |||||
In: Accounting
On July 31, 2020, Crane Company paid $2,950,000 to acquire all of the common stock of Conchita Incorporated, which became a division (a reporting unit) of Crane. Conchita reported the following balance sheet at the time of the acquisition.
|
Current assets |
$720,000 |
Current liabilities |
$520,000 |
|||
|---|---|---|---|---|---|---|
|
Noncurrent assets |
2,650,000 |
Long-term liabilities |
420,000 |
|||
|
Total assets |
$3,370,000 |
Stockholders’ equity |
2,430,000 |
|||
|
Total liabilities and stockholders’ equity |
$3,370,000 |
It was determined at the date of the purchase that the fair value
of the identifiable net assets of Conchita was $2,650,000. Over the
next 6 months of operations, the newly purchased division
experienced operating losses. In addition, it now appears that it
will generate substantial losses for the foreseeable future. At
December 31, 2020, Conchita reports the following balance sheet
information.
| Current assets |
$420,000 |
||
| Noncurrent assets (including goodwill recognized in purchase) |
2,300,000 |
||
| Current liabilities |
(640,000 |
) |
|
| Long-term liabilities |
(440,000 |
) |
|
| Net assets |
$1,640,000 |
Finally, it is determined that the fair value of the Conchita
Division is $1,850,000.
Compute the amount of goodwill recognized, if any, on July 31, 2020. (If answer is zero, do not leave answer field blank. Enter 0 for the amount.)
| The amount of goodwill |
$enter The amount of goodwill in dollars |
Determine the impairment loss, if any, to be recorded on December 31, 2020. (If answer is zero, do not leave answer field blank. Enter 0 for the amount.)
| The impairment loss |
$enter the impairment loss in dollars |
Assume that fair value of the Conchita Division is $1,590,000 instead of $1,850,000. Determine the impairment loss, if any, to be recorded on December 31, 2020. (If answer is zero, do not leave answer field blank. Enter 0 for the amount.)
| The impairment loss |
$enter The impairment loss in dollars |
Prepare the journal entry to record the impairment loss, if any, and indicate where the loss would be reported in the income statement. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)
|
Account Titles and Explanation |
Debit |
Credit |
|---|---|---|
|
enter an account title |
enter a debit amount |
enter a credit amount |
|
enter an account title |
enter a debit amount |
enter a credit amount |
| This loss will be reported in income as a separate line item before the subtotal select an income statement item Income from Discontinued OperationsCost of Goods SoldIncome From Continuing OperationsExtraordinary Items. |
In: Accounting
The following question must be answered in the C programming language and may not be written in C++ or any other variation.
Problem 5
This problem is designed to make sure you can write a program that swaps data passed into it such that the caller's data has been swapped. This is something that is done very frequently in manipulating Data Structures.
The Solution / Test Requirements
I want your program to demonstrate that you understand how to swap information passed into a function and have the calling routine print out the data before and after the call to verify the data has been swapped. Call your functions Swap and SwapStructs. Swap is a function that receives the information to swap. The information is two integers. How should Swap receive them? How should it process them? SwapStructs is a function that receives two structs to swap. How should SwapStructs receive them? How should it process them?
Your Test Main must:
1. Declare two integers and initialize them to the values 1 and -1.
2. Print out the integers.
3. Call Swap to swap the values.
4. Print out the values on return from the function.
5. Declare a struct that holds 2 integers using a typedef for the struct.
6. Dynamically allocate two separate variables using the typedef and fill the dynamically allocated structs, filling the first with the values 10 and 20 and the second with 30 and 40.
7. Print out the values in each of the structs
8. Call SwapStructs to swap the contents of the structs.
9. Print out the values in the structs on return.
10. Free the memory that was dynamically allocated.
For your convenience, here is an output of my program:
Before call..I= 1, J=-1 After call.. I=-1, J= 1
Before SwapStructs..ptr1 contains 10 and 20
Before SwapStructs..ptr2 contains 30 and 40
After SwapStructs..ptr1 contains 30 and 40
After SwapStructs..ptr2 contains 10 and 20
Process returned 0 (0x0) execution time : 0.034 s Press any key to continue.
In: Computer Science
A system financed primarily through retrospective fee-for-service insurance reimbursement is:
| A. |
A closed system. |
|
| B. |
An open-ended system. |
|
| C. |
A cost-plus system |
|
| D. |
Both B and C. |
In: Economics
(Optimization) A cylindrical container w/ circular base is to hold 64 in3. Find the dimension so that the amount of metal required is a minimum when the container is a) an open cup and b) closed can.
In: Math
(c) What is meant by the Marshall-Lerner condition?
(d) Assuming the Marshall-Lerner condition holds, contrast the factors that influence goods market equilibrium in an open economy with those of a closed economy.
In: Economics
A certain dynamical system is governed by the equation x'' + (x')2 + x = 0. Show that the origin is a center in the phase plane and that open and closed paths are separated by the path
2y2 = 1- 2x
In: Advanced Math
Think of a large industrial firm or retailer in your region that has recently closed down (or is at risk of closing). What are some of the reasons for its closure? How are these related to the globally interconnected economy?
In: Economics
At a pressure of 907 mbar , what would the height of the mercury in the column of a mercury barometer?
also
A closed container is filled with oxygen. The pressure in the container is 205 kPa . What is the pressure in millimeters of mercury?
In: Chemistry