top top mg R - bot Vbot 8 mg sin 0 mg cos e mg mg Figure 6.9 (Example 6.6) The forces acting on a sphere of mass m connected to a cord of length Rand rotating in a vertical circle centered at 0. Forces acting on the sphere are shown when the sphere is at the top and bottom of the circle and at an arbitrary location.

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

A: a) The expression for find centripetal acceleration is ac=v2r=ωr2r=ω2r Insert values in the above…

Q: A carnival ride called the Hammerhead consists of a small gondola with people inside (total mass =…

A: There are different forces acting on the system. They are as shown in free body diagram: here, mg =…

Q: block with some mass m is connected to a string that is atached to the ceiling. The block on the end…

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Q: A safety table saw uses a braking system to stop the saw blade from rotating if it senses that the…

A: The torque on any object is given as The torque in the term of force is given as  where r is the…

Q: It has been suggested to place rotating cylinders about 22 km long and 10 km in diameter in space as…

A: Solution: Given: 1 km = 1000 m G = gravitational constant = 6.67 x 10-11 N.m2/kg2 M = mass of new…

Q: One end of a cord is fixed and asmall 0.500-kg object is attached to theother end, where it swings…

A: Given that           v =8.0 m/s           r =2.0 m           θ= 20 deg           m =0.50 kg

Q: c) At this instant, find the total acceleration. inward and below the cord at ° (d) Is your answer…

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Q: ff the track. From these data, determine the coefficient of static friction between the car and…

A: Circumference of circle is given by  d=0.25(2πr)....(1) Using Newtons second law  Centripetal…

Q: A bicycle tire of radius 5.1meter  rotates {theta}radian in time 6.9 seconds. Calculate the…

A: Given: The radius of the tire is r=5.1 m. The number of rotations is θ. The time taken to complete…

Q: A single bead can slide with negligible friction on a wire that is bent into a circle of radius…

A: A single bead can slide with negligible friction on a wire that is bent into a circle of radius…

Q: An air puck of mass 0.29 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m…

A: Given: The mass of the puck is 0.29 kg. The radius of the path is 1.2 m. The hanging mass is 0.7 kg.

Q: A planet orbits a star, in a year of length 4.05e7 s, in a nearly circular orbit of radius 2.51e11…

A: Time period, T = 4.05 x 107 s radius, r = 2.51 x 1011 m

Q: A planet orbits a star, in a year of length 2.56 x 107 s, in a nearly circular orbit of radius 2.53…

A: Given, time period of planet, T=2.56×107s radius of orbit in which planet is orbiting, rp=…

Q: One end of a cord is fixed and a small 0.250-kg object is attached to the other end, where it swings…

A: Given that           v =5.0 m/s           r =3.0 m           θ= 21 deg           m =0.250 kgThe…

Q: A planet orbits a star, in a year of length 2.77 x 107 s, in a nearly circular orbit of radius 3.78…

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Q: The sphere at A is given a downward velocity v0 and swings in a vertical circle of radius I and…

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Q: A body of mass 2 kg attached at one end of light string is rotated along a vertical circle of radius…

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Q: An air puck of mass 0.24 kg is tied to a string and allowed to revolve in a circle of radius 0.9 m…

A: a. the tension in the string is T=mg=1.3 kg9.8 m/s2=12.74 N

Q: An automobile moves on a circular track of radius 1.02 km. It starts from rest from the point (x, y…

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Q: An air puck of mass 0.031 kg is tied to a string and allowed to revolve in a circle of radius 1.5m…

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Q: A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend…

A: Speed of the first drop vf2=v12-2gh10=v12-2gh1v1=2gh1            1 Similarly, the speed of the…

Q: A planet orbits a star, in a year of length 3.48 x 10's, in a nearly circular orbit of radius 1.51 x…

A: Given data: Time period, T=3.48×107 s Radius of the orbit, R=1.51×1011 m

Q: The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an…

A: mass (m) = 0.74 kg radius (r) = 0.67 m distance of rotation axis from the center of the hoop (d) =…

Q: A man-made satellite orbits the earth in a circular orbit that has a radius of 21000 km. The mass of…

A: Radius of orbit,R = 21000 km    = 21000 x 103 m   R =  21 x 106 mMass of the Earth, M = 5.97 x 1024…

Q: Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk.

A: Data provided in the question; Radius of the disc (R)=0.167 m Time period of its rotation about its…

Q: One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings…

A: Given: Mass of object, m = 0.55 kg Radius, r = 1.5 m Angle, = 17 degree Speed of object, v = 6 m/s

Q: A particle of mass 7 kg starts at A with initial velocity 3.2 m/s for H=5.4 m and h =3.8 m, radius…

A: Mass (m) = 7 kg VA= 3.2 m/s  H=5.4 m  h =3.8 m RB= 4.2 m RC= 24 m.

Q: A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a…

A: Recall there are two acceleration tangential and radial. So net acceleration is neither along…

Q: A small polished glass ball P of mass mrall = 20 g moves on the inside smooth surface of a spherical…

A:

Q: A planet orbits a star, in a year of length 3.98 x 107 s, in a nearly circular orbit of radius 2.14…

A:

Q: One end of a cord is fixed and a small 0.500-kg object is attached to theother end, where it swings…

A: a) The expression for the centripetal force is,

Q: A satellite revolves around the center of the Earth with a period of 24 hours. The distance of the…

A: Given that, Time period =24 hours Distance = 42000 km

Q: What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolu-…

A:

Q: What is the linear speed due to the Earth’s rotation of a point on the Earth (latitude 36.0 N)? The…

A: In a rotating rigid body, the velocity of any point is proportional to its radial distance from the…

Q: A planet orbits a star, in a year of length 4.46 x 10' s, in a nearly circular orbit of radius 2.46…

A: Here,

Q: a year of length 3.58 x 107 s, in a nearly circular orbit of radius 2.02 x 1011 m. With r ar speed…

A:

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

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Q: One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings…

A:

Q: A Ferris wheel has a radius of 5 meters and it starts at a velocity of O m/s then started to move at…

A:

Q: A planet orbits a star, in a year of length 2.88 x 107 s, in a nearly circular orbit of radius 1.85…

A:

Q: The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose this antelope runs…

A: Given, Mass=2.5kg Radius=35m Force=8.8N

Q: The International Space Station has a mass of 440,725 kg and is located 420 km away from the surface…

A: Given, Mass of ISS (m)= 440725 kg  Height from surface of earth (h)= 420 km  Mass of earth(M)= 5.97…

Q: A planet orbits a star, in a year of length 3.95 x 107 s, in a nearly circular orbit of radius 2.19…

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.