h Part B The force of the added water produces a torque on the dam. In a simple model, if the torque due to the water were enough to cause the dam to break free from its foundation, the dam would pivot about its base (point P). What is the magnitude 7 of the torque about the point P due to the water in the reservoir? Express your answer in terms of quantities given in the problem introduction and the magnitude of the acceleration due to gravity g. ΠΕ ΑΣΦ T= Submit 3 Request Answer C ?
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- Part A A 5 N and a 10 N force act on an object. The moment arm of the 5 N force is 0.2 m. If the 10 N force produces five times the torque of the 5 N force, what is its moment arm? Express your answer in meters to one significant figure. ΙΠ ΑΣΦ Submit Request Answer ? mYou are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 39 N·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench. NThree identical coins lie on three corners of a square a = 11.0 cm on a side, as shown in (Figure 1). Determine the x coordinate of the center of gravity of the three coins. Express your answer with the appropriate units. Determine the y coordinate of the center of gravity of the three coins. Express your answer with the appropriate units.
- I Re You're carrying a 3.6-m-long, 24 kg pole to a construction site when you decide to stop for a rest. You place one end of the pole on a fence post and hold the other end of the pole 35 cm from its tip. Part A For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. How much force must you exert to keep the pole motionless in a horizontal position? Express your answer in newtons. Vo AE F = N Submit Previous Answers Request AnswerⒸ Macmillan Learning A pipe system consists of three pipes with lengths L₁ = 1.80 m, L₂ = 0.600 m, and L3 = 2.50 m. A plumber pulls on the end of the pipe system, at the point P, with a force Fp = -24.0 Ni + 45.0 Nj + 35.0 NK. What is the torque 7 due to Fp about the origin? Enter your expression using ijk unit vector notation. 7 = Incorrect 4₁ P -43.2i +27j +87.5k N.mPart A What is the angular momentum of a figure skater spinning at 2.6 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 15 m a radius of 16 cm, and a mass of 52 kg ? Express your answer using three significant figures and include the appropriate units. L= Value Submit Request Answer Units wg ?
- A a paddle for a boat is constructed of a stick of length L and a "quartic" end piece. The end can be thought of as a uniform flat board of mass m that has been cut to form a quartic function given by y = x*, so that the length from the trough (i.e., the y 0 end of the function) to the tip is y = H. To simplify this a little, assume that the stick is massless. This paddle is stood vertically upward on the stick end and attached to a hinge on the floor so that it is free to rotate in the in/out of the page direction. When it is standing straight up that is an unstable equilibrium. A very small infinitesimal push is given to get the paddle moving and it swings downward under gravity (acceleration g). (a) When the paddle is standing vertically upward, what is the position of the center of mass of the paddle? (b) What is the moment of inertia of the paddle for rotations in/out of the page about an axis through the center of mass? (c) What is the angular velocity of the paddle just before…a. What is the maximum torque applied by the cable? (Give your answer in N m.) b. What is the torque due to the weight of the bridge? (Give your answer in N m.) c. How far can Lancelot ride out along the bridge before the cable breaks? (Give your answer in m.) Note: At his maximum distance, the torque from the cable will equal the torque from both the weight of the bridge and the weight of Lancelot.Part A Two metal disks, one with radius R1 = 2.40 cm and mass M = 0.900 kg and the other with radius R2 = 5.05 cm and mass M2 = 1.70 kg , are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk and a 1.60 kg block is suspended from the free end of the string. What is the magnitude of the downward acceleration of the block after it is released? Take the free fall acceleration to be 9.80 m/s?. a = m/s? Submit Request Answer Part B Repeat the calculation of part (a), this time with the string wrapped around the edge of the larger disk. Take the free fall acceleration to be 9.80 m/s?. ? a = m/s² Submit Request Answer
- 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…Part A Calculate the net torque about point O for the two forces applied as in the figure (Figure 1). The rod and both forces are in the plane of the page. Take positive torques to be counterciockwise. ■响 AL中 1 ? 28 -K T = N.m Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback Next > Figure <- 1 of 1 F2 = 12.0 N F = 8.00 N 30.0° 不2.00 m*ー3.00 m 业 MacBook Air 80 000 000 II DD F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 24 & %23A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.60 kg and radius 20.0 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Figure 1), and the system is released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An unwinding cable ii. Part A How far must the stone fall so that the pulley has 5.00 J of kinetic energy? Express your answer with the appropriate units. HÅ h = .58 m 0 ?