1.A bridge of length 50 m and mass 8x104 kg is supported on a smooth pier at each end as shown in Figure. A truck of mass 3x104 kg is located 15 m from one end. What are the force on the bridge at the point of support? 2.A block of mass m is connected to two springs of force constants k1 and k2 in two ways as shown in Figure. In both cases, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods: 3.At what temperature would the average speed of helium atoms equal (a) the escape speed from the Earth, 1.12x104 m/s and (b) the escape speed from the Moon, 2.37x103 m/s? Note: The mass of the helium atom is 6.64x10-27 kg. 4.A piece of insulated wire is shaped into a figure 8 as shown in Figure. The radius of the upper circle is 5 cm and the radius of the lower circle is 9 cm. The wire has a uniform resistance per unit length of 3 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2 T/s. Find the magnitude and direction of the induced current in the wire. 5.Two light pulses are emitted simultaneously from a source. Both pulses travel to a detector, but mirrors shunt one pulse along a path that carries it through 6.2 m of ice along the way. Determine the difference in the pulses time of arrival at the detector. 6.Steven Chu, Claude Cohen-Tannoudji, and William Phillips received the 1997 Nobel Prize in Physics for ‘the development of methods to cool and trap atoms with laser light.’ One part of their work was with beams of atoms (mass ~ 10-25 kg) that move at a speed on the order of 1 km/s, similar to the speed of molecules in air at room temperature. An intense laser light beam tuned to a visible atomic transition (assume 500 nm) is directed straight into the atomic beam; that is, the atomic beam and light beam are traveling in opposite directions. An atom in the ground state immediately absorbs a photon. Totally system momentum is conserved in the absorption process. After a lifetime on order of 10-8 s, the excited atom radiates by spontaneous emission. It has an equal probability of emitting a photon in any direction. Therefore, the average ‘recoil’ of the atom is zero over many absorption and emission cycles. (a) Estimate the average deceleration of the atomic beam. (b) What is the order of magnitude of the distance over which the atoms in the beam are brought to a halt?
1.A bridge of length 50 m and mass 8x104 kg is supported on a smooth pier at each end as shown in Figure. A truck of mass 3x104 kg is located 15 m from one end. What are the force on the bridge at the point of support? 2.A block of mass m is connected to two springs of force constants k1 and k2 in two ways as shown in Figure. In both cases, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods: 3.At what temperature would the average speed of helium atoms equal (a) the escape speed from the Earth, 1.12x104 m/s and (b) the escape speed from the Moon, 2.37x103 m/s? Note: The mass of the helium atom is 6.64x10-27 kg. 4.A piece of insulated wire is shaped into a figure 8 as shown in Figure. The radius of the upper circle is 5 cm and the radius of the lower circle is 9 cm. The wire has a uniform resistance per unit length of 3 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2 T/s. Find the magnitude and direction of the induced current in the wire. 5.Two light pulses are emitted simultaneously from a source. Both pulses travel to a detector, but mirrors shunt one pulse along a path that carries it through 6.2 m of ice along the way. Determine the difference in the pulses time of arrival at the detector. 6.Steven Chu, Claude Cohen-Tannoudji, and William Phillips received the 1997 Nobel Prize in Physics for ‘the development of methods to cool and trap atoms with laser light.’ One part of their work was with beams of atoms (mass ~ 10-25 kg) that move at a speed on the order of 1 km/s, similar to the speed of molecules in air at room temperature. An intense laser light beam tuned to a visible atomic transition (assume 500 nm) is directed straight into the atomic beam; that is, the atomic beam and light beam are traveling in opposite directions. An atom in the ground state immediately absorbs a photon. Totally system momentum is conserved in the absorption process. After a lifetime on order of 10-8 s, the excited atom radiates by spontaneous emission. It has an equal probability of emitting a photon in any direction. Therefore, the average ‘recoil’ of the atom is zero over many absorption and emission cycles. (a) Estimate the average deceleration of the atomic beam. (b) What is the order of magnitude of the distance over which the atoms in the beam are brought to a halt?wildly biased interview increased book salesacollieralso2024-10-17 | This is a review of The Message by Ta-Nehisi Coates.
26:39 A bad thing.fall book list (and first DNF of the year!)acollieralso2024-10-03 | Books in this video: Howl’s Moving Castle by Jones The Halloween Tree by Bradbury A Wizards Guide to Defensive Baking by Kingfisher The Legend of Sleepy Hollow by Irving Practical Magic by Hoffman The Ghost in the House by O’Leary Penance by Clark The Final Girl Support Group by Hendrix Pet Semetery by King The Postmortal by Magary The Haunting of Hill House by Jacksona ghost in the houseacollieralso2024-09-24 | Books mentioned: A Ghost in the House by Sara O’Leary Outline by Rachel Cusk
Podcast mentioned: @BooksUnbound
Main channel: @acollierastro Link to Patreon — one exclusive science video per month: patreon.com/acollierastro
Chapters: 00:00 Introduction 01:28 The Pitch 02:38 Thoughts (no spoilers) 05:33 Spoilers and a story time 09:43 Outline by Rachel Cuskshame stack afraid to leave the stackacollieralso2024-09-06 | Shame stack TBR! Pile 1: There There by Tommy Orange The Grapes of Wrath by John Steinbeck How to Suppress Women’s Writing by Joanna Russ Hope in the Dark by Rebecca Solnit The Year of Magical Thinking by Joan Didion The Hours by Michael Cunningham Stoner by John Williams Arcadia by Tom Stoppard
Pile 2: By Any Means Necessary by Malcolm X Twelve Years a Slave by Solomon Northup Say Nothing by Patrick Radden Keefe The Rape of Nanking by Iris Chang The Things They Carried by Tim O’Brien
Pile 3: Woman at Point Zero by Naval El Saadawi Kappa by Ryunosuke Akutagawa The Golem by Gustav Mayrink China in Ten Words by You Hua Storm by George R. Stewart Sense & Sensibility The Diaries by Emma Thompson
Pile 4: Master and Commander by Patrick O’Brien Remains of the Day by Kazuo Ishiguro Lucy by the Sea by Elizabeth Strout
Pile 5: A Swim In A Pond In The Rain by George Suanders So Long A Letter by Mariana BäThe Fire Next Time by James Baldwin Severance by Ling Ma
00:00 Introduction 01:35 Recommendations from Booktube and real life. 06:42 Books I should read to learn but they will make me feel sad. 10:11 Books I know nothing about but seem interesting. 14:11 I bought these books for weird reasons. 16:26 Books I know that I will like.if your satire fails you just made the thingacollieralso2024-08-30 | Books in this video:The Final Girl Support Group — Grady Hendrix The Bitter Southerner: bittersoutherner.com The story— Woman in the Woods by Holly Hayworth The English Understand Wool — Helen DeWittnew books new meacollieralso2024-08-01 | Books mentioned in this video: Sipsworth by Simon Van Booey The Once and Future Sex by Eleanor Jangea All Fours by Miranda July Moonbound by Robin Sloan Sourdough by Robin Sloan Mr Prenumbra’s 24-Hour Bookstore by Robin Sloan The Final Girl Support Group by Grady Hendrix Horrorstör by Grady Hendrix The Last Sane Woman by Hannah Regal Peach by Amanda Green