A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, %3D O'max, is: O 0.4 rad/s O 0.1 rad/s O 0.8 rad/s 0.05 rad/s O 0.2 rad/s

Q: The angular position of a 0.45 m - diameter drum is given by: θ = (7 rad/s^3)t^3 Determine: a.) The…

A: Given : d = 0.45 m r = d/2 = 0.45/2 = 0.225 m θ = (7 rad/s^3)t^3

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Q: An object with a mass of m=5.10 kg is attached to the free end of a light string wrapped around a…

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Q: A small ball of mass 1.5 kg is attached to one end of a 1.50-m-long massless rod, and the other end…

A: Mass, m = 1.5 kg Length, L = 1.50 m Angle from vertical, θ = 38° Torque, τ = ?

Q: The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the…

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Q: A bowling ball has a mass 4 kg, a moment of inertia of 1.6 x 10-2 kg x m2 and a radius of 0.1 m. If…

A: Total energy is sum of rotational and translational energy ETot=ERot+ETran=12Iω2+12mv2=12Ivr2+12mv2…

Q: A small ball of mass 0.5 kg is attached to one end of a 1.8-m-long massless rod, and the other end…

A: Given: The mass of the ball is 0.5 kg. The length of the rod is 1.8 m. The angle of the pendulum…

Q: A 1kg steel ball is attached to a lightweight 1m long rod pivoted at the other end. The ball is…

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Q: A giant toy car with big wheels has a total mass (including the wheels) of 0.21 kg. The car has 4…

A: Given data: Mass of the car, m=0.21 kg Radius of each wheel, r=3.3 m Moment of inertia of each…

Q: The angle that a swinging simple pendulum makes with the vertical obeys the equation () = (0.150…

A: The general equation for the angle made at any time by a simple pendulum is  θ(t)=θ0cosωt+φwhere ω…

Q: A disk of mass 2.00 kg and diameter 50.0 cm is rotating without slipping across a level floor at a…

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Q: An object, attached to a 0.6 m string, does 4 rotation in one second. T, the period is defined as…

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Q: An elevator cable winds on a drum of radius 76.2 cm that is connected to a motor.  a. If the…

A: In the given question, Radius of the drum (r) = 76.2cm = 0.762m We are required to find  (a) Angular…

Q: Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod =…

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Q: You pull on a string with a horizontal force of magnitude Fyh = 56 N that is attached to a block of…

A: A) Energy due to friction = ((m_b*g*cos*(θ)-Fsin(θ))*u*d                                          =…

Q: A uniform solid disk of mass m = 3.06 kg and radius r= 0.200 m rotates about a fixed axis…

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Q: A hollow ball having a mass ofm=5.00 kg and a moment of inertia of (2/3)mr? rolls a distance d=…

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Q: A pendulum consists of a rod of mass 1 kg and length 1 m connected to a pivot with a solid sphere…

A: Given the mass of the rod is Mrod is = 1 kg and length is L= 1m. The mass of the solid sphere is Ms=…

Q: small ball of mass 1.4 kg is attached to one end of a 1.70-m-long massless rod, and the other end of…

A: small ball of mass 1.4 kg is attached to one end of a 1.70-m-long massless rod, and the other end of…

Q: thin spherical shell of mass M= 3.00 [kg] and radius R= 1.50 [m] compresses a spring (k= 500. [N/m])…

A: Given: mass( M) = 3.00 kg  radius  (R) = 1.50 m  Spring constant (k ) =  500  N / m ∆x = 0.400 m…

Q: A disk of mass 2.00 kg and diameter 50.0 cm is rotating without slipping across a level floor at a…

A: Given, Mass of the disk = 2 kg = m Diameter of the disc = 50 cm = 0.5 m  r = d/2 = 0.25 m Angular…

Q: If you are to add another box with a mass of 5kg, how far from the pivot point should you put for…

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Q: A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis…

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Q: Chapter 15, Problem 039 The balance wheel of a watch oscillates with angular amplitude 0.64n rad and…

A: Given information:Angular amplitude (A) = 0.64π radTime period (T) = 0.68 s

Q: A glass bead of diameter 1.70 mm and density 2.89 g/cm3 spins uniformly at a rate of 3n rad/s along…

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Q: The hook is hanging from a cord that is wound around a drum of 0.7 m radius. If the weight of the…

A: Given Radius r = 0.7 m Height H = 19 m initial velocity u = 0 m/s

Q: A thin uniform-density rod whose mass is 3.6 kg and whose length is 2.5 m rotates around an axis…

A: Given, Mass of the rod, m=3.6 kg, Length, L= 2.5 m, and angular speed, ω=30 m/s, center's speed, v=…

Q: Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod =…

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Q: second hand and the linear speed and linear acceleration of a point on the second hand 7.67 cm from…

A: Radius r = 7.67 cm  = 0.0767 m Time period T = 60 s  Angular velocity w = 2π/T       = 2 π /60…

Q: Find the angular velocity of a clock's second hand and the linear speed and linear acceleration of a…

A: Given value--- clock's second hand revolves one revolution in 60 second.  r = 5.34 cm. We have to…

Q: A point rotates about the origin in the xy plane at a constant radius of 0.174 m with an angular…

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Q: A pendulum is made of a rod of mass 3.1 kg and length 3.1 m whose moment of inertia about its center…

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Q: Let: m¡m2 m = mị + m2 x = x2 – x1 - t Then x behaves like the position of a single particle (mass m)…

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Q: Let: m = mị + m2 x = x2 – x1 – l | Then x behaves like the position of a single particle (mass m)…

A: Solution:Angular Frequency for a simple harmonic motion is given asw=km--1

Q: a solid brass ball of mass 0.280 g will roll smoothly along a loop-the-loop track when released from…

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Q: Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod =…

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Q: Let: m¡m2 m = mị + m2 x = 12 – X1 – l Then x behaves like the position of a single particle (mass m)…

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Q: A thin rod of mass 0.800 kg and length 0.700 m has a fixed pivot at one end.  The rod is held…

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Q: 1. A simple pendulum has a frequency of 0.400 Hz for small oscillations on the surface of the Earth.…

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Q: Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod =…

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Q: A 5.00 kg disk of radius 1.20 m initially rotated at 2.00 rad/s relative to a fixed axis passing…

A: The energy possessed by an object that is in motion, with velocity v is known as the kinetic energy…

Q: A thin spherical shell of mass M = 3.00 [kg] and radius R = 1.50 [m] compresses a spring (k = 500.…

A: Given-: Mass, m=3.00 kg Radius, R = 1.50 m Spring constant, k-500 N/m The spring is compressed by…

Q: A uniform solid plastic sphere and a hollow metal ball having equal external radius R are released…

A: Since the mass of both spheres is different, the variables involving mass will not be the same.

Q: A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall…

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Q: A uniform solid disk of mass m = 3.08 kg and radiusr= 0.200 m rotates about a fixed axis…

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Q: A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.9 rev/s .…

A: Given: Frequency of rotation of potter’s wheel (fw) = 1.9 rev/s Mass of wheel (M) = 4.5 kg. Diameter…

Q: A uniform disk with mass 36.1 kg and radius 0.210 m is pivoted at its center about a horizontal,…

A: Mass of the disc = M = 36.1 kg Radius = R = 0.21 m Force = F = 32 N Moment of Inertia of the disc =…