A solid sphere of weight 36.0 N rolls up an incline at an angleof 30.0 . At the bottom of the incline the center of mass of thesphere has a translational speed of 4.90 m/s. (a) What is the kineticenergy of the sphere at the bottom of the incline? (b) How far doesthe sphere travel up along the incline? (c) Does the answer to(b) depend on the sphere’s mass?

Q: A 2kg disk has a radius of 18cm and rotates with an angulas acceleration of 12 rad/s^2 about an axis…

A: (given)           Mass (m) of a disk = 2 kg          Radius (r) of a disk = 18 cm…

Q: If a baseball player pushes with 250N due North at a point 8.0cm due southeast of the pivot point of…

A:

Q: A cylindrical spool with mass m, radius R and moment of inertia Icm about its axis, is being pulled…

A: Given data The mass of the cylindrical spool is m The radius of the cylindrical spool R The moment…

Q: A solid spherical ball starts from rest at an initial height of 1.3 m, and rolls down an incline.…

A: Using conservation of energy Intial energy=final energy

Q: • A 100-N uniform plank leans against a frictionless  wall as shown. What is the magnitude of the…

A: For the equilibrium condition, the net torque about the point P is zero. that is,…

Q: Find the torque about the origin when a force of 3j N acts on a particle whose position vector is 2k…

A:

Q: The uniform solid Rotation axis block in Fig. and edge lengths a = 3.5 cm, b = 8.4 cm, and c has…

A:

Q: A rigid body is undergoing planar motion with the velocity of its center of mass vc = 2 m/s i + 5…

A:

Q: A uniform flat disk has mass 40kg and radius 40 cm and is oriented in a vertical plane so that it…

A: Given information: Here, m is the disk’s mass, R is the disk’s radius and F is the force applied on…

Q: Discuss the conditions for the rotational equilibrium of a floating body.

A: Step 1Rotation is a circular movement of an object around a center of rotation.

Q: As shown in the figure below, a bicycle wheel is at rest against a curb. If the wheel has a radius…

A:

Q: The thin uniform rod haslength 2.0 m and can pivot about a horizontal,frictionless pin through one…

A: Initial potential energy of rod is, The kinetic energy at the horizontal position,

Q: A flywheel of mass 8 tonnes starts from rest, and gets up a speed of 180 r.p.m. in 3 minutes. Find…

A:

Q: A vector force with components (1, 2, 3) acts at the point (3, 2, 1). Find the vector torque about…

A: Given: The component pf force is F=(1,2,3). The component of point is r=(3,2,1). At origin ro=…

Q: A 255-lbf block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft…

A:

Q: A rigid body is made of threeidentical thin rods, each with lengthL = 0.600 m, fastened together in…

A: The length of each rod,   The mass of each rod,

Q: uniform rod of mass 3.4 kg is 4 m long. The rod is pivoted about a horizontal, frictionless pin at…

A: Given,Mass of the rod, m = 3.4 kglength  of the rod, l = 4 mθ = 70°acceleration due to gravity, g =…

Q: Find the net torque on the system if...

A:

Q: At the local playground, a 21-kg child sits on the right end ofa horizontal teeter-totter, 1.8 m…

A:

Q: A 74N force acts on a 0.8m long uniform beam (shown in the figure) and is applied at the very end.…

A:

Q: A box of mass m, =9.5 kg on a rough inclined plane of angle a = 42° is connected with a string of…

A: SOlution:Given that m1 = 9.5 kg m2 = 1.1 kg angle  =42 degree coefficinet of friction = 0.18…

Q: A position vector of a particle of 2kg mass at any time t is given by r(t) = 3ti+ 2t^2j+ t^3k Find…

A: NOTE ; As per guidelines ,we will solve only three sub parts.

Q: A person holds his outstretched arm at rest in a horizontal position. The mass of the arm is m and…

A: It is given that,

Q: Find the torque of a force 7iˆ + 3jˆ – 5ˆk about the origin. The forceacts on a particle whose…

A: Given:Force on particle = (7i + 3j + 5k) NPosition vector of the particle = i + j + k

Q: A rod extends from x=0.0 m to x=2.0 m with a density in kg/m given by f(x)=192 - 12x^2. Find the  A.…

A: The given function is  f(x)=192 - 12x2

Q: •• A squirrel-proof bird feeder has a lever that closes to protect theseeds when a 0.42-kg squirrel…

A:

Q: Elements of the lower arm are shown in the figure. The weight of the forearm is Q = 55 N and its…

A:

Q: A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely translational speed…

A:

Q: A cylindrical spool with mass m, .radius R and moment of inertia Icm about its axis, is being pulled…

A: Given quantities: mass = m radius = R moment of inertia = ICM Let, the acceleration of the spool be…

Q: The torque of a force (T) is defined as the vector product of the position a) Determine the…

A:

Q: A cylinder of mass M, of radius R, and of length L such that, L = 6R is hinged at point A in…

A:

Q: The plant in the picture has mass of 30 kg, and is hanging at a distance of 1.8 meters from the…

A: Given mass of the rod is M = 7.8 kg mass of the plant is m = 30 kg suspended at x =  1.8 m from the…

Q: A cue ball is struck along a line through its center and parallel to the table. It moves forward…

A: Consider a cue ball (mass m and radius R) is sliding with initial linear speed v0 which is nothing…

Q: If a 0.15-kg baseball with a radius of 3.7 cm is thrown with a linear speed of 47 m/s and an angular…

A:

Q: A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an…

A:

Q: A solid, uniform disk of radius 0.250 m and mass 55.0 kg rollsdown a ramp of length 4.50 m that…

A: Given data:Mass of the disk. M = 55.0 kgRadius of the disc, R = 0.250 mLength of the ramp, L = 4.50…

Q: A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline.…

A:

Q: A solid, horizontal cylinder of mass 10.0 kg and radius 1.00 mrotates with an angular speed of 7.00…

A: The moment of inertia of the cylinder before the putty dropped is

Q: τ=rFsinθ Is the version of torque we should now be using A ladder with a length of 2m and a mass of…

A: Given data- Length of ladder L=2 m Mass of ladder m=5 kg Angle with floor =60 degree

Q: The moment of inertia of a square lamina about the perpendicular axis through its centre of mass is…

A: Given parameters Moment of inertia of a square lamina about the perpendicular axis at the center of…

Q: What will be the corresponding applied torque if the power output given by an engine rotor is equal…

A: given data, Power of the motor , P = 500 watts angular speed , ω = 3300 rad/s Let , the torque be τ

Q: A solid spherical ball starts from rest at an initial height of 1.9 m, and rolls down an incline.…

A: Given.   Mass of sphere is 2.5 kg. Radius is 0.232 m. Initial height is 1.9 m MOI is 2mr²/5 about…