A pendulum consists of a rod of mass 1 kg and length 1 m connected to a pivot with a solid sphere attached at the other end with mass 0.5 kg and radius 30 cm. What is the torque about the pivot when the pendulum makes an angle of 30° with respect to the vertical?

The cart shown below moves across the table top as the block falls. What is the acceleration of the cart? Neglect friction and assume the following data: $m_1=2.0 \mathrm{~kg}, m_2=4.0 \mathrm{~kg}, I=0.4 \mathrm{~kg}-\mathrm{m}^2, r=20 \mathrm{~cm}$

A flywheel (I = 50 kg-m²) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s. (a) What is the angular acceleration of the flywheel? (b) What is the magnitude of the torque?

Consider the following sequence of log records: <START S>; <5, A, 60,61>; <C0MMIT5>; <START T>; <T ,A , 61,62>; <START f/>; <U ,B, 20,21>; <T ,C , 30,31>; <START V>; <U,D, 40,41>; <V,F, 70,71>; <C0MMIT U>; <T, E, 50,51>; <C0MMIT T>; <V ,B , 21,22>; <C0MMIT V>.
Suppose that we begin a nonquiescent checkpoint immediately after one of the following log records has been written (in memory):
(a) <5, A, 60, 61>
(b) <T, A, 61, 62>
(c) <U, B, 20, 21>
(d) <U, D, 40, 41>
(e) <T, E, 50, 51>

A pendulum is made of a small sphere of mass 0.250 kg attached to a lightweight string $1.20 \mathrm{~m}$ in length. As the pendulum swings back and forth, the maximum angle that the string makes with the vertical is $34.0^{\circ}$. Friction can be ignored. At the low point of the sphere's trajectory, what is the kinetic energy of the sphere?

Underline the correct pronoun. Identify the case by writing nom. (nominative) or obj. (objective) in the blank. _____ Stand between your friends, David and (him, he).

Tell whether the quotient is positive, negative, or zero. $676 \div ( - 26 )$

The greatest distance between Earth and the sun during Earth’s revolution is 152 million kilometers. What is this distance in megameters?

The following is intended for students who have already covered IR spectroscopy (Chapter 14):

Consider the figure shown in Problem 7.102. IR spectroscopy is a great tool for monitoring the conversion of 1 to 2a, while other forms of spectroscopy will be better suited for monitoring the conversion of $1 \rightarrow 2 \mathrm{~b}$ or $1 \rightarrow 2 \mathrm{c}$. Explain.

Explain why the following properties are true. Give an example of each. (a) If n is an even positive integer, then $\lim _{x \rightarrow c} \frac{1}{(x-c)^{n}}=\infty$. (b) If n is an odd positive integer, then $\lim _{x \rightarrow c^{-}} \frac{1}{(x-c)^{n}}=-\infty$. (c) If n is an odd positive integer, then $\lim _{x \rightarrow c^{+}} \frac{1}{(x-c)^{n}}=\infty$.

Choose the letter that describes the set $\{x \mid x$ is an even integer greater than 4 and less than 6$\}$. A. the set of all even integers B. the set of the five least positive integer powers of $2$ C. the set of even positive integers less than $10$ D. the set of all odd integers E. the set of all negative integers F. the set of odd positive integers less than $10$ G. $\emptyset$ H. the set of the five least positive integer multiples of $2$

Simplify. Assume that variable exponents represent positive integers.

$$p ^ { 2 } ( p - 2 q )$$

Circle the BEST answer.
When measuring height with a standing scale
a Balance the height rod at zero (0)
b Be sure footwear is worn
c Read the height at the movable part of the rod
d Record height to the nearest inch

Write the equality and conversion factors, and identify the numbers as exact or give the number of significant figures for the following: Sterling silver is 93% silver by mass.