F. CG F = sum of N and f N = w w/

Q: (a) Find the centrifugal acceleration of a particle on the earth’s surface at the equator, due to…

A: The acceleration which we feel at the surface of the earth is;Gravitational acceleration (g) = 980…

Q: A highway curve has 200-ft radius and is designed to accommodate vehicles at a maximum speed of…

A: Let F denote the centripetal force, vmax denote the maximum velocity, m denote the mass of the…

Q: bicycle and rider with mass m rolls down a hill at constant velocity under the influence of gravity…

A:

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: In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the…

A: Free Body Diagram

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

A:

Q: A 10 kg Teflon object on a level surface has a coefficient of static friction and kinetic friction…

A: Given information: The mass of the box (m) = 10 kg The coefficient of friction (μ) = 0.4 The force…

Q: Consider the following mass distribution: 3 kg at (4 m, −4 m), 2.8 kg at (0 m, 4.2 m), and 3.7kg…

A:

Q: Assuming the earth to be an oblate spheroid, so that the distance from the center to the equator is…

A:

Q: The small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the…

A: To calculate the mass moment of inertia of torque and angular acceleration.

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: Determine the resultant force and its inclination with the force X, if two forces X=90 N, Y=50 N,…

A: Given, Forces, X=90 N,Y=50 N Angle between forces, θ=120°

Q: A bucket which has a mass of 910 g when empty and contains 3 litres of water is swung round in a…

A: Given: Mass of the bucket when empty is  m=910 gm=0.910 kg  Amount of water in the bucket =3 litres…

Q: Static Friction Force Revisited Now let's go back and consider the static situation again. Let the…

A: Static friction fs  = μ Ν  Hence we can calculate static friction by finding the value of N.

Q: In the figure, two identical, uniform, and frictionless spheres, each of mass 7.1 kg, rest in a…

A:

Q: The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This…

A:

Q: A roller-coaster car has a mass of 499 kg when fully loaded with passengers. The path of the coaster…

A: Note that at point A the weight of the car acts downwards and the centrifugal force also acts…

Q: A pendulum, mass attached to a string, is being sung in a horizontal circle by holding on the…

A: GivenA pendulum ball move in a horizontal circleThe string makes an angle θ with the vertical.we…

Q: In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a…

A:

Q: (а) A В C ГАВ ГАС (b) A В ГАВ ГАС E (@)

A:

Q: A curved portion of highway has a radius of curvature of 65 m. As a highway engineer, you want to…

A:

Q: A uniform sphere of weight 50 N and radius 4 cm is held by a string of length 8 cm, against a smooth…

A:

Q: In the figure a fastidious worker pushes directly along the handle of a mop with a force 7. The…

A:

Q: -3.00 m- 130.0⁰ I Figure 3 5.00 m

A:

Q: A particle of mass 0.50 kg starts moves through a circular path in the xy-plane with a position…

A:

Q: Ex. 94: The vertical section of a road over a bridge in the direction of its length is in the form…

A: We need to compute-Velocity at highest point of curvature (V)=?The data given as-Radius of…

Q: Consider a system that is comprised of two planets. These two planets orbit each other, both…

A:

Q: A car weighing 11.1 kN and traveling at 13.7 m/s without negative lift attempts to round an unbanked…

A:

Q: r weighing 10.9 kN and traveling at 13.6 m/s without negative lift attempts to round an unbanked…

A:

Q: A 3500-pound automobile is negotiating a circular interchange of radius r = 500 feet at s = 45 miles…

A: The given data   The velocity of the automobile v = 45 mph = 45×52803600 ft/s = 66 ft/s The mass is…

Q: T(5,3,3) o (8,1,-1) e door shown held in static equilibrium with a tensile force perpendicular to…

A:

Q: A 0.420-kg pendulum bob passes through the lowest part of its path at a speed of 3.21 m/s. (a) What…

A: Given Information:- Mass of the bob is m=0.420 kg Speed of the bob at the lowest point is v=3.21 m/s…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.