A train rounds a curve of radius 150 m at a speed of 20 m/s. Calculate the angle of banking so that there is no side thrust on the rails. Also find the elevation of the outer rail over the inner rail, if the distance between the rails is 1 m. [Oct 96]
Q: 1) If a force of 12 N is applied tangentially to the rim of a 25-cm-radius disk-shaped wheel that…
A: Given, Tangential force = 12 N Radium of rim= 25 cm mass =2.0 Kg
Q: 5. Consider a uniform hollow cylinder of mass M, radius R and side length L originally in an upright…
A:
Q: [6.] A 20 kg box resting on a horizontal, frictionless surface is attached to a 8 kg weight by a…
A: Visualize the problem:
Q: (b) A grindstone in the shape of a solid disk with diameter 0.520 m and a mass of 50.0 kg is…
A: Given,d=0.520 mm=50 kgω0=850 rev/minF=160 N
Q: The bolts on a car wheel require tightening to a torque of 9 N∙m. If a 8 cm long wrench is used,…
A: Given data: Torque is, τ=9 N∙m The length of the wrench is, r= 8 cm= 0.08 m The angle between F and…
Q: In the figure, the inclined surface is smooth, the cable is tangent to the wheel. Determine the…
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Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…
A:
Q: 13-62. A girl having a mass of 25 kg sits at the edge of the merry-go-round so her center of mass G…
A: The marry – go- round rotate then it exerts a centrifugal force on girl when it is more than…
Q: 13-95. A smooth can C, having a mass of 3 kg, is lifted from a feed at A to a ramp at B by a…
A: It is given that,
Q: An experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a…
A:
Q: (II) A small rubber wheel is used to drive a large potterywheel. The two wheels are mounted so that…
A: Given The radius of the driving wheel is r1 = 2 cm = 2 x 10-2 m. The angular acceleration of the…
Q: (a) What will an object weigh on the Moon's surface if it weighs 190 N on Earth's surface? N (b) How…
A:
Q: b) A grindstone in the shape of a solid disk with diameter 0.520 m and a mass of 50.0 kg is rotating…
A: Given data- Diameter d=0.520 m, mass m=50.0 kg, rotation=850 rev/min Normal force F=160 N, time…
Q: When the ring is right in the center, why must the sum of the forces on the ring add up to zero?
A: When the ring is centered then the only forces acting on it are the tensions. These are concurrent…
Q: [W (2rh - h2)1/2]/ (r-h).
A:
Q: 2-9) The in M rotationally mounted bar 1 (L1 = AM = 50 mm, ß = 53.13°) rotates with constant angular…
A: Step 1: Step 2: Step 3: Step 4:
Q: (a) A uniform solid disk rolls without slipping down an incline making an angle e with the…
A: A uniform solid disk is rolling down the slope without slipping. Hence friction Ffr exists to avoid…
Q: If you were to stop a spinning wheel with a constant force, where on the wheel would you apply the…
A: The torque is given by The torque is also given by
Q: The flywheel of a steam engine runs with a constant angular velocity of 230 rev/min. When steam is…
A:
Q: A bucket of water with total mass 24.0 kg is attached to a rope, which in turn, is wound around a…
A: mass , m = 24 kg Radius of cylinder , R = 0.05 m Radius of crank , r = 0.35 m To find = minimum…
Q: 18) A solid uniform disk (1=0.5mr²) is rolling without slipping along a horizontal surface with a…
A:
Q: A marble rolls down an incline at 30° from rest. (a) What is its acceleration? (b) How far does it…
A:
Q: A person pushing a horizontal, uniformly loaded, 26.90 kg wheelbarrow of length ? is attempting to…
A:
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…
A: Given : Radius of hoop (rh) = 0.421 m Mass of hoop (m) = 5.08 kg Mass of rods (M) = 9.09 kg…
Q: the magnitude of the force F the man at
A: The man B exerts a force P = 30 lb Total pole length lt = 12+6 =18 ft Angle Φ = 45° The man at C is…
Q: A rope connecting two masses, m, = 3.50 kg and 2) m2 = 8.00 kg, passes over a pulley made of a solid…
A: Given : Mass m1 = 3.5 kg Mass m2 = 8.00 kg Radius of the pulley, R = 18 cm = 0.18 m Height of m2…
Q: A 4.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a…
A:
Q: 11-21 A boy rides his bicycle. The wheels have radius 30.0 cm. If the boy on the bicycle accelerates…
A: Given: The radius of the wheel is 30 cm. The initial speed of the wheel is 0 m/s. The final speed of…
Q: 3.0-kg grindstone in the shape of a uniform cylinder of radius 61 cm acquires a rotational rate of…
A: Given:- The mass of the grindstone is M = 3.0 kg. The shape of a uniform cylinder of radius R = 61…
Q: A cyclist accelerates from rest at a rate of 1.00 m/s^2. How fast will a point at the top of the…
A: Answer - V top= 13m/s
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- (2a)If a rigid body has a non-zero angular velocity, then it will have an instantaneous center of zero velocity. True False (B)A wheel rolling along the ground will have an instantaneous center of zero velocity at the wheel's center. True False(a) In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 22.0° with the horizontal. A duffel bag having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. The duffel bag goes around once in 42.0 s. Calculate the force of static friction exerted by the carousel on the duffel bag. (Give the magnitude of your answer in N.) X What are the directions of the forces on the bag with respect to the carousel's surface? What is the direction of the centripetal acceleration with respect to the carousel's surface? Find all x- and y-components of vectors carefully and watch signs when applying Newton's second law. Consider using an x-axis parallel to the surface. N (b) The speed of the carousel is adjusted to have a higher constant rotation rate, so that it now makes full…Consider a 0.5 kg mass at the top of a 1.5 m high (vertical) incline. if this mass were a hollow sphere (like a basketball) and it is allowed to roll (without slipping) down the incline, what will be its speed (in m/s) at the bottom?
- 1 Figure 10-20 is a graph of the an- gular velocity versus time for a disk rotating like a merry-go-round. For a point on the disk rim, rank the in- stants a, b, c, and d according to the magnitude of the (a) tangential and (b) radial acceleration, greatest first. Figure 10-20 Question 1.Find the magnitude of the torque exerted by F on the bolt at P if PQ| = 8 in. and |F| = 30 lb. 450 PPlease Answer with clear steps thank you! (45)
- 1) A car with tires of radius 25.0 cm accelerates from rest to 30.0 m/s in 10.0 s. When the car's speed is 2.00 m/s find the linear acceleration of the top of the wheel relative to (a) the center of the wheel, (b) the road. (Note that there will be a vertical and horizontal component to the acceleration.A model airplane with mass 0.750-kg is tethered by a wire so that it flies in a circle of radius 30.0-m. The airplane engine provides a force of 0.800-N perpendicular to the tethering wire. (Consider the airplane to be a point mass) (a) Find the torque that the net thrust produces about the center of the circle. Answers: (a) 24.0 N m[06] The fishing pole in the figure makes an angle of 20.0° with the horizontal. Determine (a) the magnitude of the vertical force that lifts the fish upward, (b) the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with 75.0N at an angle of 40.0° below the horizontal. The force exerted by the fish is applied at a point 2.00m from the angler's hands. S120 40 -2.00 m- 20 75N
- 6 In the overhead view of Fig. 10-24, five forces of the same magnitude act on a strange merry-go-round; it is a square that can rotate about point P, at midlength along one of the edges. Rank the forces according to the mag- nitude of the torque they create about point P,greatest first..) The figure shows a vertical force applied tangentially to a uniform cylinder of weight F. The coefficient of static friction between the cylinder P and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of F, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping.12. A car at the Indianapolis 500 accelerates uniformily from the pit area, going from rest to 270 km/h in a semicircular arc with a radius of 220 m. Determine the tanegntial and radial acceleration of the car when it is halfway through the arc, assuming constant tangential acceleration. If the the curve were flat, what coefficient of static friction would be necessary between the tires and the road to provide this acceleration with no slipping or skidding?"