為什麼F=-mgsinθ是負，求解，謝謝

五、小角度單擺的簡諧運動 如圖(a)所示,一單擺擺長0、擺錘質量為m,作一小角度 (0 < 5°)之擺動,最低點 位置為。若擺繩質量不計,且忽略所有的阻力,則其擺錘幾乎是在一直線上來回運動, 且符合F=k:的條件,則可視為簡諧運動。 P 為看清楚相對幾何關係 將圖形非等比例放大 圖(a) 小角度的單擺運動 d 以平衡點為原點,且當的很小時,d≈弧長x x ⇒sino-d~*⇒ F = -masing-mg / 文 mg (b) 擺錘的受力分析 -- X 三分析 (1)當擺角為0時,擺錘受兩力作用:重力 mg 與張力 F。 (2)可將 mg 分解成切向的分力 mg sin0和法向的分力mg cos8. 9 (3) 沿擺線方向的合力 = F - mycos9,提供擺錘作圓周運動所需的向心力。 (4) 沿切向方向的合力 = mgsinf ,提供擺錘擺回平衡點O的回復力。 mg mgsinmgcose (5)小角度單擺的週期:T=2元 =2*(只和擺長與重力加速度有關,和擺錘質量及擺角大小 均無關) g ↑張力F mg x

求解

三填(10題,每題2 分,共 20 分,答錯無倒扣) 21 for these, though. Why are we so different? Some people hate the feeling of being afraid and avoid situations like visiting ghost houses, watching scary movies, and telling ghost stories around the campfire. Others have a Researchers have found the answer lies in how the chemicals in our brain work. When we are afraid, our bodies can make fight-or-flight response, a reaction that helps us to decide whether to fight or escape. In these situations, our brains combination of hormones. Interestingly, the way our bodies respond to these_20determines whether we get to the movie theater to see a horror film or not. 22 a a have Psychologists say that people who 24 themselves in scary situations need to make sure that they are in a safe environment. For example, people who visit ghost houses have the _25 that they are going to be scared. They may 26 fear when Godzilla or Count Dracula starts chasing them. However, they know the _27aren't real, so they can enjoy the high feeling associated with the fight-or-flight response. Some people also feel a sense of confidence after they live through a 28 situation, even if they know it is false. How about you? When a scary 29__ turns up, will you escape or enjoy the fear? No matter which one you choose, there is no doubt that no one wants to face the $30. (A) horrible (C) release in real life. It's natural that everyone will escape from real danger. (D) tragedy (B) place (AC) expectation (AD) monsters (E) passion (BC) creature (AB) sudden (AE) chemicals

為什麼第12題是用where Where所代替的現行詞是誰

第11.至15.題為題組 医学 Music is more than recreation. The use of music in human medicine has become increasingly (a)認知的 popular. Studies show that music can enhance cognitive function in stroke patients and reduce patients' 身体檢查 (n.) a 11. during their medical examinations. Likewise, music has been proven to offer aids in the recovery 163 18 69. of pets, creating a calm, warm and relaxing space for their post-surgical recovery. (0) 23/ 貓科动物 · 四大医 (a)(医治家畜(禽)疾病的;獸医的 To dig into what kind of music might benefit felines during veterinary visits, a study 12. researchers experimented with 20 domestic cats was conducted by Hampton and his colleagues, from the Schools of Veterinary Medicine at Louisiana State University in Baton Rouge. The felines were 13. to cat-specific music, classical music, or no music at random veterinary visits, 2 weeks apart. The results were good news for the cats in the study. 14. surrounded by cat-specific music, the cats appeared to be less stressed during the examinations. The experiment showed that 15. the welfare, cat-specific music is something that feline creatures cannot do without during their vet visits. So, if you make an appointment for your cat next time, try playing some special tunes beforehand to calm it. 11. (A) injection AK (B) anxiety (D) treatment (C) medication (C) how (B) why (D) where in which (D) opposed (B) confined (C) exposed (B) After all (C) Nonetheless (D) Accordingly (B) in terms of (C) on behalf of (D) in addition to *A) that 13. (A) attracted 14. (A) That is B15. (A) in case of

求解2 第三行第一段時間不是說不能確定了嗎🥺

Advanced 10 5 SA ENGLISH TH Having bip oesn't have to With t such as Beetho- All suffered fro treatment, the can't live a n 66 The Ups and Downs of Bipolar Disorder L ife in the modern world can be confusing and fast-paced. Every day, our brains are forced to make sense of an endless stream of information from the Internet, TV, and newspapers. As if that weren't enough, we must balance our social and work schedules while still making time for our families. It's no wonder that many people sometimes feel overwhelmed by the ups and downs of their life. But for people with (bipolar disorder, this roller coaster ride never seems to end. Yet many people suffering from this disease don't even know they have it. Bipolar disorder is a condition in which people have trouble controlling their moods. Instead of having a balanced temperament, patients often move between extreme excitement and depression. In less serious cases, it can cause a person to be overly energetic and talkative throughout the day. It could also make the sufferer become anxious about minor things that wouldn't bother most people. In severe cases, people can become extremely depressed and lose their will to live. sbu Scientists are still unsure why people develop bipolar disorder, but many 15 believe it is caused by a combination of internal and external factors. They believe it comes from a chemical imbalance in the body, which may be genetic. But when this is combined with high levels of pressure, bipolar disorder seems to worsen. Re Since bipolar disorder is complex, it can be difficult to treat. One approach to get it under control is through medication. The drug lithium is often prescribed, 20 since it can control patients' moods in both the manic and depressive stages. Psychotherapy is also used to help people change the negative thoughts that frequently accompany their severe mood swings. 196

英文 想請問17題，複合代名詞究竟該如何判斷意思及該選的選項呢？謝謝🙏

:20.透透組 While once known for its people's good looks and slim body figures, Brazil is now confronting surging obesity rates. Almost one in four Brazilian adults is obese, a doubled rate in the past 20 years. It has led to a movement to protect overweight people 16. being discriminated. This issue is also at the center of the heated debates on one of the Brazil's most popular TV programs. This country, in media, has been featuring 17. women in ads and on catwalks. In addition to the fashion industry, other organizations and businesses are taking action. Hospitals are purchasing larger beds and MRI machines. Movie theaters are offering wider seats. At school, a day is 18. to promote the rights of overweight 這一天被預留下来 people. Laws are changing as well. Across the country, ese people are now 19. seats on public transportation and priority at certain places like banks. Besides, a comedian was fined $1,000 for making jokes about a dancer's weight. Though obese people are being treated more and more kindly, some experts urge the government to address the issues triggered by obesity from the perspective of health. 20. so have related health problems, such as diabetes, stroke, and sleep apnea. Luckily, Brazilian governments have launched campaigns encouraging a healthier diet, financed exercise spaces in Brazilian towns, and promoted more nutritious meals in school cafeterias. 16. (A) not (A) full-figuring 18. (A) lining up 19. (A) deprived of BRO CR (B) for (B) full-figured (B) kicked off B) characteristic of (C) with adi. slim-figuring (C) set aside entitled to D) from (D) slim-figured (D) following suit BIF (D) withdrawn from

這題畫出來後圖形可以在座標軸上 上下移動 也正確嗎？

easing, U and J 27. f'(0) = f'(2) = f'(4) = 0, 28 f'(x) > 0 if x <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 or x > 4, f"(x) > 0 if 1<x<3, f"(x) < 0 if x < 1 or x > 3 £!(5) O CUY

想詢問這個該如何證明？

of duration relat- ing to the maturity, yield, and coupon interest of the security being analyzed. Duration and Maturity A comparison of Tables 9-6, 9-3, and 9-7 indicates that duration increases with the maturity of a fixed-income asset or liability, but at a decreasing rate:4 OD OM > 0 d²D dM² <0 To see this, look at Figure 9-4, where we plot duration against maturity for a three-year, a two-year, and a one-year U.S. Treasury bond using the same yield of 4 This is the case for the vast majority of securities. It needs to be noted, however, that for bonds selling below par, duration increases at a decreasing rate up to a point. At long maturities (e.g., 50 years) dura- tion starts to decline. Few bonds in the market have a maturity long enough to see this decline.

請問B、C如何判斷？我沒有辦法把這兩個選項跟文章串起來，看不出他們有什麼關聯😭

女大考三題型 Unit 8 The Risks of Bio-terrorism In 2001 a number of US government employees and citizens died, after opening 1 letters deliberately contaminated with a deadly disease. 2 The government has responded to the threat by introducing a "Bio-Watch" system, which uses special equipment to detect unusual organisms in the atmosphere. Nevertheless, it can provide an early warning system for major towns and cities, allowing medicine to be rushed to an area under attack. 3 However, the US government is much more worried about the psychological impact, rather than the actual death toll, of a bio-terrorist attack. Any disease effectively released as a bio-weapon in a highly populated zone could cause general panic. 4 As a result of the continuing bio-terror threat, the US government is trying to make its citizens more confident that it can combat this menace. By doing so, it hopes that there will be less widespread panic. Therefore, if a major bio-attack occurs, people can take immediate action to minimize the damage. (A) This was probably the work of a mad scientist, but it signaled to all Americans that bio-terrorism was a clear and present danger. (B) This might freeze normal economic activities in the world's biggest economy center, and thus cause chaos in the global financial system. (C/Infected people can then be treated, and most will survive. DUnfortunately, this technology cannot filter the mail or prevent terrorists releasing diseases in enclosed places. 1. 2. y 3. C 4.

想問第五題 deceased &deceasing 在這裡的差別？

from a Hindu In Bengal*, Pitru Paksha is a 16-day tradition that is thought 4. myth. It relates that a 5. Warrior starved in Heaven for not honoring his ancestors while alive. During this festival, the Bengali perform ceremonies for their ancestors to achieve peace. Another country that honors the dead is Nepal*. Here Gai Jatra, lasting for eight days in July or August, is a festival 6. cows are paraded throughout the town by families who lost someone the year before. This is a way to remember the lost ones since cows are considered sacred. Lastly, another unique country is Madagascar*. _7. the concept of Famadihana is an unusual celebration. The Malagasy people believe that spirits 8. the body is fully decomposed. Therefore, every seven years, they 9. the cemetery and dig up bodies to spray with perfume, wrap in silk, and parade around with music. 10. this is offensive* to Westerners, it is honorable here. Although death is a universal fate we all share, how we deal with it can be largely dependent on where you live in the world. cannot rest 註:Bengal 孟加拉地區(包含孟加拉及印度西孟加拉邦) ancestor 祖先 Nepal 尼泊爾 Madagascar 馬達加斯加 offensive 冒犯的 ) 1.(A) regardless of (B) except for 2. (A) mourned (B) preferred (B) those (B) 3. (A) he ) 4. (A) originated (C) to be originated CD) (A) decease (B) deceases (R) (D) in addition to (D) restored (D) a person (C) instead of (C) awaited (C) anyone (B) originating (D) to have originated (C) deceased (C) (D) deceasing (D) whon gr b H

想請問紅色括弧那句的意思是什麼 以及第一題怎麼判別

A Unit 1 8 Environment The Melting Ice Caps The world's ice is melting, and it is happening at an alarming speed, rate, 3 Global warming has been increasing at a very unsustainable² and the polar ice caps have been vanishing³ before our eyes. In the 55 years between 1961 and 2016, the Earth's total ice loss amounted to an estimated nine trillion³ tons. The start of the 21st century bore witness to several profound decreases in terms of the area covered annually by Arctic ice. The year 2012 was the lowest on record, while 2007, 2016, and 2019 were tied for second-lowest. 10 As the ice melts, an excessive amount of melted water emerges from it. This large amount of melted water manifests itself as a rise in sea levels. (This rise leads to the increased erosion -or wearing away- of the coast. When combined with the higher frequency of ecological" disasters¹2, it results in a bigger storm surge¹3. Climate change threatens¹4 15 to forever change the way we live. We're all destined ¹5 to be affected by it. Ver all destined 閱讀理解,請在下列選項中,選出最適合的答案。 1 What does the word "erosion" refer to in the second paragraph? (A) The reason behind the frequent typhoons (B) The rapid increase in storm surges (e) The slow destruction of something 破壞 (D) The depressing future that we all face 2 Which of the charts below might indicate the situation described in the first paragraph? (A) (B) A (C) Arctic Ice Levels 1.||| 2007 2012 2016 2019 2020 Arctic Ice Levels 1₁ 1961 2007 2012 2016 2019 Arctic Ice Levels 1955 2006 2012 2016 2019 Arctic Ice Levels DWA dılı 2007 2012 2016 2019 2020