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February 12, 2020
Geometry – Warmup – 2/12/20
Hopefully the Redlining Project was educational for you. While you are mulling over your own fond memories of the project please find the following:
cos(60º), sin(60º), tan(60º), sec(60º), csc(60º), and cot(60º)
***Please write your answers in your notebook***
Remember that you are allowed (even encouraged) to refer to your notes to help jog your memory if you (gasp!) forgot how to do this.
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Does the mnemonic SOHCAHTOA mean anything to you?
That's right folks, we're shifting gears back to right triangle trigonometry.
We will be taking a brief tour of the calculator (why didn't you pick it up when you saw that they were unlocked?) first and then do a couple of examples to jog
your memory.
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You are now working on the class work.
When you finish, please come up front to get it checked off and to check your answers.
Then, please obtain a copy of the homework, which you are welcome to start working on if you so desire.
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Geometry – Closing Question – 2/12/20
What is the reciprocal identity of sine?
HW:
None!
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Precalculus – Warmup – 2/12/20We are going to be going over studentgenerated questions. In order to
accomplish this feat, we need some studentgenerated questions. How's that coming?
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Precalculus – Closing Question – 2/12/20Ready for the test?
HW:Study!
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AP Physics – Warmup – 2/12/20A solid cylinder is rolling along a flat, horizontal plane. The center of mass of the cylinder is moving toward the south at constant velocity. Which one of the following statements concerning the translational and rotational kinetic energies of the cylinder is true?
a) The translational kinetic energy is greater than the rotational kinetic energy.
b) The translational kinetic energy is less than the rotational kinetic energy.
c) The translational kinetic energy is equal to the rotational kinetic energy.
d) The sum of the translational and rotational kinetic energies equals the gravitational potential energy of the cylinder.
e) The sum of the translational and rotational kinetic energies equals zero joules.
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55. Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 6.6 m/s. Ignore frictional losses.(a) What is the height of the hill?
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64. As seen from above, a playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.50 m, an initial angular speed of 3.14 rad/s, and a moment of inertia of 125 kg ꞏ m2. The mass of the person is 40.0 kg. Find the final angular speed of the carousel after the person climbs aboard.
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70. A solid disk rotates in the horizontal plane at an angular velocity of 0.067 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.10 kg ꞏ m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis. The sand in the ring has a mass of 0.50 kg. After all the sand is in place, what is the angular velocity of the disk?
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74. A block (mass = 2.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 × 10−3 kg ꞏ m2), as the drawing shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.040 m during the block's descent. Find the angular acceleration of the pulley and the tension in the cord.
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AP Physics – Closing Question – 2/12/20Which one of the following statements concerning the moment of inertia is false?
a) The moment of inertia depends on the angular acceleration of the object as it rotates.b) The moment of inertia may be expressed in units of kg ꞏ m2.c) The moment of inertia depends on the orientation of the rotation axis relative to the particles that make up the object.d) Of the particles that make up an object, the particle with the smallest mass may contribute the greatest amount to the moment of inertia.e) The moment of inertia depends on the location of the rotation axis relative to the particles that make up the object.
HW:
Chapter 9 #’s 3, 11, 15, 25, 51, 57, 71, & 73, due TOMORROW!
