A gear reduction system consists of three gears A, B, and C. Knowing that gear A rotates clockwise with a constant angular velocity $\omega_A = 600$ rpm, determine (a) the angular velocities of gears B and C, (b) the accelerations of the points on gears B and C which are in contact.

Which of the following observations are used to help identify a specific fiber? a) smell of the burned fiber b) on contact with the flame, does the fiber coil or melt? c) color and structure of the residue left after the fiber burns d) all of the above

A coin is tossed 3 times. Determine the probability of getting the following sequences of results: head then head then head

If $1.00 \mathrm{~m}^3$ of water at $0^{\circ} \mathrm{C}$ is frozen and cooled to $-10^{\circ} \mathrm{C}$ by being in contact with a great deal of ice at $-10^{\circ} \mathrm{C}$, estimate the total change in entropy of the process.

The $50 \mathrm{~lb}$ block $A$ and the $25 \mathrm{~lb}$ block $B$ are supported by an incline that is held in the position shown. Knowing that the coefficient of static friction is $0.15$ between all surfaces of contact, determine the value of $\theta$ for which motion is impending.

Explain why the addition of $\mathrm{NH}_{3}$ or $\mathrm{HNO}_{3}$ to a saturated solution of $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ in contact with solid $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ increases the solubility of the solid.

(II) A person's right eye can see objects clearly only if they are between $25 \mathrm{~cm}$ and $78 \mathrm{~cm}$ away.(a) What power of contact lens is required so that objects far away are sharp?

Mercury makes an angle of $130^{\circ}(\beta$ in Fig.) when in contact with clean glass. What distance will mercury depress in a vertical $\textrm{ 0.8-in.}$-diameter glass tube? Use $\sigma=0.032~ \mathrm{lb} / \mathrm{ft}$.

A vertical concentric annulus, with outer radius $r_o$ and inner radius $r_i$ , is lowered into a fluid of surface tension $Y$ and contact angle $\theta <90\degree$. Deduce an expression for the capillary rise $h$ in the annular gap if the gap is very narrow.

Choose the best answer for each question. What is a party platform? A. a place where party leaders meet. B. a statement of a party's beliefs and positions. C. a method a party uses to contact followers. D. a list of a party 's candidates.

A 50-g block of copper (one mole has a mass of 63.5 g) at a temperature of $35^{\circ} \mathrm{C}$ is put in contact with a 100-g block of aluminum (molar mass 27 g) at a temperature of $20^{\circ} \mathrm{C}.$ The blocks are inside an insulated enclosure, with little contact with the walls. At these temperatures, the high-temperature limit is valid for the specific heat. Calculate the final temperature of the two blocks. Do NOT look up the specific heats of aluminum and copper; you should be able to figure them out on your own.

Use rectangular coordinates to find the equation of the family of curves that satisfies the property described.

The length of a tangent segment from point of contact to the $x$ intercept in equal to the $x$ intercept of the tangent line. Hint. See $(1 \mathrm{~g})$ and $1(\mathrm{a})$.

A person has a far point of 14 cm. What power glasses would correct this vision if the glasses were placed 2.0 cm from the eye? What power contact lenses, placed on the eye, would the person need?

A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45 m. (a) Calculate its velocity just before it strikes the floor. (b) Calculate its velocity just after it leaves the floor on its way back up. (c) Calculate its acceleration during contact with the floor if that contact lasts $0.0800\ \mathrm{ms}\ \left(8.00 \times 10^{-5}\ \mathrm{s}\right).$ (d) How much did the ball compress during its collision with the floor, assuming the floor is absolutely rigid?