pcs211 2019 exam

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School

Toronto Metropolitan University *

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Course

211

Subject

Physics

Date

Jan 9, 2024

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pdf

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Uploaded by ProfessorReindeer5111

Studocu is not sponsored or endorsed by any college or university PCS211_FEX_2019 Physics: Mechanics (Toronto Metropolitan University) Studocu is not sponsored or endorsed by any college or university PCS211_FEX_2019 Physics: Mechanics (Toronto Metropolitan University) Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

Department of Physics PCS 211 - PHYSICS I, MECHANICS Final Exam – December 9 , 2019 Put a check mark beside the name of your professor: Instructions - Read them attentively  For item 100 on your TRS form please fill the exam VERSION number (A or B)  The test consists of 25 multiple choice questions. Answer all questions.  Each question is worth 1 mark (the total mark is 25).  For each multiple choice question: o You need to show all the work you’ve done to arrive at the answ er in the space provided in this booklet. If no work is shown to justify the answer to a question, the resultant mark may be zero, even if the answer in the scantron is correct. o Transfer your choices to the bubble sheet only when you’re sure of them. o Some answers are rounded off a bit so don’t panic ! o Select the option that is numerically closest to your answer, circle it in this booklet and then copy it to the bubble sheet carefully using a pencil.  Duration of the exam: 3 hours.  Pagers and cell phones must be silenced and placed out of reach. Earphones are not allowed. If a phone rings, its owner is responsible for disrupting the exam and the phone will be confiscated or the owner will be asked to leave the room resulting in a zero on the test.  Sharing of pens, erasers and calculators is not permitted.  Talking to another student or glancing over another student’s paper is not permitted and may result in a charge of academic misconduct.  Formula sheets are not allowed. The only calculators allowed are either the Sharp EL-546 or C asio FX-991 . If you are found to have another type of calculator (even if not programmable) it will be confiscated for the duration of the test.  All Ryerson Examination rules apply.  The exam booklet has a total of ** pages. You are responsible for checking that you have all pages. Please Print Clearly: Student:_____________________________ ___________________________ Last Name First Name Student Number: _____________________ Student Section: _______________ Please put the first letter of your family name inside the circle Dr. I. Abbas Dr. J. Yuan Dr. V. Toronov Dr. J. Tanguay Dr. J. Hu Your signature here (no signature, no mark!) Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

1. Two couples act on the beam as shown. If F = 150 lb. Determine the resultant couple moment. (a) 14.0 lb·ft (b) 40.5 lb·ft (c) 120 lb·ft (d) 143 lb·ft (e) 240 lb·ft SOLUTION 2. A large cannon is fired from ground level over level ground at an angle of 30° above the horizontal. The muzzle speed is 980 m/s. Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground? A. 4.3 km B. 8.5 km C. 43 km D. 85 km E. 170 km Average 0 = v 0 sin30°t - gt 2 /2, t =2 v 0 sin30°/g = 2*980 sin30°/9.8 = 100 s x = v 0 cos30°t = 980 cos30°*10 = 84.87 km 3. The mast is subjected to the three forces shown. Determine the coordinate angles α 1 , β 1 , γ 1 of F 1 so that the resultant force acting on the mast is {350 i .}N. Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

A) α 1 = 20 deg, β 1 = 36 deg, γ 1 = 44 deg B) α 1 = 46 deg, β 1 = 53 deg, γ 1 = 67 deg C) α 1 = 100 deg, β 1 = 30 deg, γ 1 = 4.5 deg D) α 1 = 150 deg, β 1 = 130 deg, γ 1 = 16 deg E) α 1 = 20 deg, β 1 = 130 deg, γ 1 = 110 deg Average 4. A small sphere is hung by a string from the ceiling of a van. When the van is stationary, the sphere hangs vertically. However, when the van accelerates, the sphere swings backward so that the string makes an angle of  with respect to the vertical. Find the acceleration of the van when   10.0  . (a) 5.93 m/s 2 (b) 4.82 m/s 2 (c) 3.69 m/s 2 (d) 1.73 m/s 2 (e) 6.94 m/s 2 Solve The force acting on the sphere which accelerates it is the horizontal component of the tension in the string. Newton's second law for the horizontal motion of the sphere gives T sin  = ma The vertical component of the tension in the string supports the weight of the sphere is, T cos  = mg From the above equations we get, tan a g   Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

  2 2 tan 9.80 m/s tan10.0 1.73 m/s a g      5. Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes over a frictionless pulley as shown in the figure. The inclines are frictionless. Find the tension in the string. (a) 21.8 N (b) 27.4 N (c) 34.2 N (d) 42.8 N (e) 50.5 N Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

6. A 3.0-kg mass is released from rest at point A of a circular frictionless track of radius 0.40 m as shown in the figure. The mass slides down the track and collides with a 1.4-kg mass that is initially at rest on a horizontal frictionless surface. If the masses stick together, what is their speed after the collision? a. 2.1 m/s b. 1.7 m/s c. 1.9 m/s d. 1.5 m/s e. 2.3 m/s 7. The four balls in the figure below have been thrown straight up. They have the same size, but different masses. Air resistance is negligible. Rank in order, from largest to smallest, the magnitude of the net force acting on each ball. (a) d > b = c > a (b) a > b = d > c (c) d = c > b = a (d) d > b > c = a (e) b > d > c > a Note: The net force on each ball is only the gravitational force mg. Downloaded by natalia paz (nataliapaz26@outlook.com) lOMoARcPSD|31885521

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