Part A- The center of mass of a 1 kg meter stick is 25 cm from the fulcrum on the left side. On the right side a rock is 25 cm away from the fulcrum. The meter stick and rock balance each other.  What is the mass of the rock?______kg Part B- Two meter sticks are placed up against the wall. Meter stick 1 has a piece of clay placed at the top of it. Both meter sticks are then pushed so that they fall to the ground. It take longer for meter stick 1 ( the one with the clay) to reach the ground. The reason is due to rotational inertia. (True or False)

%3D %3D A thin rod of total mass M and length L lles on the z axis between (I=0) and (z=L). The mass of the rod is non-uniformly distributed over its length such that the density is given by: 3M Where is the center of mass of the rod? a. ICM = L %3D O b. ICM C. ICM %3D O d. ICM е. ICM

You have been chosen as the test subject for the newest attraction at Disney. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e., 49.0 m/s2). QUESTION:  The remaining kinetic energy of the cart is removed as work is done pushing in the plunger/piston and compressing the water inside the cylinder. Use the work equation to determine the displacement of the plunger/piston.…

A horizontal meter stick supported at the 50-cm mark has a mass of 0.60 kg hanging from it at the 15- cm mark and a 0.40 kg mass hanging from it at the 70-cm mark. Determine the position on the meter stick at which one would hang a third mass of 0.50 kg to keep the meter stick balanced. A. 26 cm mark B. 56 cm mark OC. 58 cm mark D. 76 cm mark E. 84 cm mark

Fred Flintstone’s club–ax is made up of two parts:  an uniform 2.5 kg stick and a symmetrical 8 kg stone attached to the end of the stick.  The dimensions of the club-ax are shown in the figure.  How far is the center of mass from the handle end of the club-ax? Express your answer in cm.

John's mass is 94.7 kg, and Barbara's is 54.8 kg. He is standing on the x axis at xj = +9.14 m, while she is standing on the x axis at x³ = +2.05 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch? Distance moved by center of mass = i

You have been chosen as the test subject for the newest attraction at Disney. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass (MY MASS IS 55KG). As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e., 49.0 m/s2). Question:  The remaining kinetic energy of the cart is removed as work is done pushing in the plunger/piston and compressing the water inside the cylinder. Use the work equation to determine the displacement of the…

1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or –Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider can move without slipping down the wall?

Ginger was caring for her litter of puppies when the four curious pups spotted a cat for the first time. Each of the four pups leaned their full 8N of force against the board balanced between the puppies and the cat. How much force must Ginger apply to the other side to keep the pupies from knocking down the board? A- 32N B- 16N C- 8N d- 78N

How close to the right edge of the 56 kg picnic table shown can a 70 kg man stand without the table tipping over? Hint: When the table is just about to tip, what is the force of the ground on the table’s left leg?