Two balls are connected by a 150-cm-long massless rod. The center of mass is 35 cm from a 75 g ball on one end. What is the mass attached to the other end? Express your answer with the appropriate units. D
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- L A uniform beam with mass M = 179.0 kg and length L = 3.2 m slides broadside down along the ice at a speed of vo = 12.0 m/s. A man of mass 99.0 kg, who is initially at rest grabs one end of the beam as it goes past and hangs on as the beam and man go spinning down the ice. Note: You can assume frictionless motion and the moment of inertia for the man about a vertical axis through his center of mass is negligible. Use the coordinate system shown in the picture, with the origin located at the initial position of the man and the z axis pointed out of the page. 1) During the beam/man collision, which of the following qualities about the man/beam system are conserved (circle all that are correct): a) Linear momentum b) Angular momentum c) Rotational kinetic energy d) Mechanical energy e) None of the above. 2) After the collision, what is the moment of inertia of the man + beam system about an axis perpendicular to the ice through the center of mass of the system? 3) After the collision, at…The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading Fg1 = 470 N and Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.rod of length L = .9 m and mass mod = .1 kg connects two small balls of mass m = .2 kg each. The rod rotates about its midpoint with an axis perpendicular to the rod. The initial angular velocity is w, = 3 rad/s in the counterclockwise direction. A tangential force F = 9 N is applied to one of the spheres for 2 s causing the system to Rotation accelerate. a. What is the moment of inertia of the rod and ball m system? b. What is the torque acting on the system? Magnitude and direction? c. What is the angular acceleration of the system? d. What is the final angular velocity of the rod? e. What is the final speed v of one of the masses?
- AsapPart A Determine the magnitude of the moment of the force F = {320i 200j + 160k}N about the x axis. (Figure 1) Express your answer to three significant figures and include the appropriate units. ? M = Value Units Figure < 1 of 1 Submit Request Answer Provide Feedback Ne: 0.3 m 0.4 m 0.2 m F7. A 0.25 kg bullet is fired with a velocity of 200 m/s into two spheres mounted on a shaft with a vertical axis of rotation (coming out of the page) the spheres rotate horizontally. Each sphere has a mass of 0.80 kg and can be treated as a point mass. The mass of the shaft can be ignored. The bullet hits one of the spheres at the angle shown and sticks to the sphere which starts at rest. 30° Axis Of Rotation a. Determine the linear momentum of the bullet. b. Determine the angular momentum of the bullet/spheres system after the bullet hits the sphere. (Remember, momentum is conserved so you can calculate the momentum of the system at any time as long as you include all of the pieces.) 0.50 m
- You have a summer internship at NASA and are working on plans for a new space station to be launched into orbit around the Earth. The design of the space station is shown. i It is to be constructed in the shape of a hollow ring of mass 52,000 kg. The structures other than the ring shown in the figure have negligible mass compared to the ring. Members of the crew will walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 140 m. The thickness of the ring is very small compared to the radius, so we can model the ring as a hoop. At rest when constructed, the ring is to be set rotating about its axis so that the people standing inside on this deck experience an effective free-fall acceleration equal to g. The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. Your supervisor asks you to determine the following: (a) the time interval during which the rockets must be fired if each…Q9 A Physics teacher is teaching a class about the effect of friction. They assemble a track that has a vertical loop of radius 30.0 cm. A toy car of mass 50.0 g is released from rest at a height of 1.00 m at the beginning of the track. The car rolls down the track and follows the loop before exiting the track. The teacher asks the class to calculate the speed of the toy car if the coefficient of friction were 0. Im 30 cm What is the calculated speed of the toy car as it reaches point X? (A) 1.49 ms (B) 2.21 ms! (C) 2.80 ms! (D) 7.84 msWhile sunbathing on the balcony of your 3rd floor apartment, you notice a gorilla drop a m = 38.2 kg crate from rest from the roof of the 5-story building across the street. Since you just completed a course on surveying, you know that the two identical buildings are d = 29 m apart, and have floors that are h = 5.1 m tall. The first floor is at ground level, as shown.a. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 4th floor balcony of the other building. Lb =b. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 3rd floor balcony of the other building, directly across from you. Lc =c. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 2nd floor balcony of the other building. Ld =d.…
- R Rod Block Bullet Problem 7: The puck in the figure above on the left has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 0.4 m, and the puck is sliding with a speed of v; = 0.8 m/sec. The string is pulled downward through the hole in the frictionless table and the new distance of the puck from the center of rotation is 0.25 m. What is the new speed of the puck? Answer: vf = 1.28 m/sec Problem 8: In the figure above on the right a 0.001 kg bullet with initial speed vi = 1800 m/sec is fired into a 0.5 kg block attached to the end of a 0.60 m rod of mass 0.50 kg. Point A is the pivot point for the rod and the bullet stays inside the block after the collision. What is the angular speed w of the system after the collision? The moment of inertia of the rod about point A is I = Me and the moment of a particle is I = mr?. Treat the block as a particle and also treat the bullet as a particle. Answer: w = 4.5 rad/sec3. A meter stick has a pivot that is located in the middle (50 cm). On this meter stick we place 150 g @ 32 cm, 300 g @ 45 cm, 100 g @80 cm and 300 g @80 cm. a. How much mass needs to be placed at 55 cm in order to balance the meter stick. b. Where will you put 500 g in order to balance the meter stick?Consider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.