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Check Your Understanding A large ocean-going ship runs aground near the coastline, similar to the fate of the Costa Concordia, and lies at an angle as shown below. Salvage crews must apply a torque to right the ship in order to float the vessel for transport. A force of
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- a bucket of water with a mass of 25 kilograms is lifted from a well by a rope which is wound around a cylinder with a radius of 0.10 meters. A 0.50 meter crank is attached to the cylinder so that it wraps the rope around the cylinder. what is the minimum force that must be applied to the crank to lift the water bucket ?arrow_forwardYou 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…arrow_forwardIt is sometimes important to determine the location of a person’s center of gravity(which coincides with the center of mass because the gravitational force is uniform at the scale of the human body). This can be done with the arrangement shown intheFigure below. A light (negligible mass) plank rests on two scales that read Fg1=380 N and Fg2=320 N. The scales are separated by a distance of 2.00 m. How far from the woman’s feet is her center of gravity?arrow_forward
- In the figure below, both the ceiling and the ruler accelerate together at 1.6 m/s2 in the +y direction, and the reading to the "new" length of the vertical wire is as indicated. Ignore the effect on the two diagonal wires. Other parameters are below: Weight of the pan = 5 N Weights (or loads) = 74 N Originally, the wire has a length 0.200 cm, and diameter of 2.7 cm. Calculate the Young's modulus of the wire in Pa. NOTES: Use pi = 3.14. Final answer in ZERO decimal place. 4.000 4.100 4.200 4.300 cmarrow_forwardAt small scales, viscous drag becomes very important. To a paramecium (shown), a singlecelled animal that can propel itself through water with fine hairs on its body, swimming through water feels like swimming through honey would to you. We can model a paramecium as a sphere of diameter 50 μm, with a mass of 6.5 x 10-11 kg. A paramecium swimming at a constant speed of 0.25 mm/s ceases propelling itself and slows to a stop. At the instant it stops swimming, what is the magnitude of its acceleration?A. 0.2g B. 0.5gC. 2g D. 5garrow_forwardAn aluminum rod is suspended by two wires, as shown in the figure below. The mass of the rod is 25.0 kg. Assume the rod has a uniform density. This means the gravitational force can be accurately modeled acting at the center of the rod.arrow_forward
- Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 3 m and it rotates once every 1.2 s. What is the magnitude of the net force on Buzz, in Newtons? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forwardConsider two geometrically identical marbles stacked in a container as shown. The radius of each of the marbles is R. while the width of the container is 2.9R The marble at the top has a weight 0.78 N while the weight of the lower marble has a weight of 0.84 N. What is the magnitude of the normal force at point B? Express your answer in Newtons and with two decimal places. C A Вarrow_forwardYou have an internship working at a company that designs and produces washing and drying equipment. Your supervisor is in the process of designing a new, very large dryer to be used in commercial establishments with intense laundry needs, such as restaurants (tablecloths, napkins) and hotels (sheets, towels). In a dryer, a cylindrical tub containing wet material is rotated steadily about a horizontal axis as shown in the figure below. So that the material will dry uniformly, it is made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of 62.0° above the horizontal. Your supervisor's tub is designed to have a radius of r= 1.48 m and she asks you to determine the appropriate rate of revolution. (Give your answer in rev/min.) rev/min deletearrow_forward
- You have an internship working at a company that designs and produces washing and drying equipment. Your supervisor is in the process of designing a new, very large dryer to be used in commercial establishments with intense laundry needs, such as restaurants (tablecloths, napkins) and hotels (sheets, towels). In a dryer, a cylindrical tub containing wet material is rotated steadily about a horizontal axis as shown in the figure below. So that the material will dry uniformly, it is made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of e = 53.0° above the horizontal. Your supervisor's tub is designed to have a radius of r = 1.28 m and she asks you to determine the appropriate rate of revolution. (Give your answer in rev/min.) rev/minarrow_forwardWhen a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force g' n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F = n = 780 N. (For 0, enter the smaller of the two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm b T = R =arrow_forwardDetermine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression for F = 118 N and (a) 0 = 23°, B = 18° and (b) 0 = 23°, B = 35° B Answers: (a) Fn = N (b) Fn- = N i i -x N, Ft= i N, Ft= iarrow_forward
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