The homogeneous plate ABCD is subjected to a biaxial loading asshown. It is known that \sigma_z=\sigma_o and that the change in length of the plate in

A 230kg crate hangs from the end of a rope of length L=12.0m. You push horizontally on the crate with a varying force F to move it distance d= 4.00m to the side.
a) What is the magnitude of F when the crate is in this final position? What are b) the total work done on it, c) the work done by the gravitational force on the crate, and d) the work done by the pull on the crate fromthe rope? e) Knowing the the crate is motionless before and after its displacement, use the answers to (b), (c), and (d) to find the work your force F does on the crate. f) Why is the work of your force not equal to the product of the horizontal displacement and the answer to (a)?

A 1.0 kg ball and a 2.0 kg ball are connected by a 1.0-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 20 rpm. What torque will bring the balls to a halt in 5.0 s? Answer in Nm.

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a ${\displaystyle {30}^{\circ }}$ angle, with the vertical.

a) Determine the ball speed.
b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?
c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

The tires of a car make 65 revolutions as the car reduces its speed uniformly from 100 km/h to 50 km/h. The tires have diameter of 0.80 m. a) What was the angular acceleration? b)If the car continues to decelerate at this rate, how much more timeis required for it to stop?
For part a, I thought my method was pretty legitimate, but myanswer didn't match the one in the back of the book. The backof the book had the answer -4.4 ${\displaystyle ra\frac{d}{s^2}}$, whereas Igot $-1.59\cdot {10}^4$ ${\displaystyle ra\frac{d}{s^2}}$

The drag characteristics of a torpedo are to be studied in a water tunnel using a 1 : 5 scale model. The tunnel operates with fresh water at ${\displaystyle {20}^{\circ }C}$ whereas the prototype torpedo is to be used in seawater at ${\displaystyle {15.6}^{\circ }C}$.To correctly simulate the behavior of the prototype moving with a velocity of 30 m/s, what velocity is required in the water tunnel?

A car is traveling at 50.0 km/h on a flat highway. If the coefficient of friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?

To win a prize at the country fair, you're trying to knock down a heavy bowling pin by hitting it with a thrown object. Should you choose to throw a rubber ball or a beanbag of equal size and weight? Explain.