A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.1 m/s. The maximum angular speed, θ'max, is:

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

Q: Consider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the…

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Q: A uniform solid disk of mass m = 3.08 kg and radius r= 0.200 m rotates abou fixed axis perpendicular…

A: (a)The magnitude of the angular momentum when rotation axis passing through the centre            L=…

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: A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If…

A: Given data The inner radius of the cylinder is ri = 10 cm. The outer radius of the cylinder is ro =…

Q: A person drops a cylindrical steel bar (Y = 2.00 x 10" Pa) from a height of 5.00 m (distance between…

A: The mass of the cylindrical bar is m=0.80 kg. The length of the cylindrical bar is L=0.63 m. The…

Q: You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of…

A: Write an expression for conservation of energy

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 hoop of mass 4 kg and radius 0.1 m is rolling without slipping. It has a translational speed of v=…

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Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.14 kg and radius R = 0.19 m) and a…

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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: Consider a "round" rigid body with moment of inertia I = BMR2, where M is the body's mass, R is the…

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Q: A uniform solid disk of mass m = 2.98 kg and radius r = 0.200 m rotates about a fixed axis…

A: (a) The moment of inertia of the solid uniform disk can be given as, I=12mr2=122.98 kg0.2m2=0.0596…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a…

A: Given :Mass of hoop, mh=0.30 kgRadius of hoop, R=0.17 mMass of rod, mr=0.30 kgLength of the rod,…

Q: A uniform solid disk of mass m = 3.03 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: Consider a "round" rigid body with moment of inertia I = BMR², where M is the body's mass, R is the…

A: The total energy for a simple harmonic motion is a constant of time. In other words, for an object…

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: If I pull a pendulum to the right, what direction does the angular position vector point? Also, what…

A: If a heavy mass be suspended by a weightless, perfectly flexible and inextensible string from a…

Q: A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached…

A: Given data:  Mass of particle (m) = 0.1 kg Maximum tension force (T) = 1N Radius of circular path…

Q: ou pull on a string with a horizontal force of magnitude Fyb = 47 N that is attached to a block of…

A: Force Fyb = 47N Mass of block b, mb =7.9kg Mass of cylinder, mc =4.4kg Radius, r=0.4m Spring…

Q: A uniform disk of mass m=0.400 kg and radius R=20.0 cm is pinned to the wall near its rim. Find (a)…

A: (a)   The moment of inertia of the disk about the pin can be determined as follows.…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a…

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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: The uniform solid block in the figure has mass 26.6 kg and edge lengths a = 0.996 m, b = 1.30 m, and…

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Q: A uniform solid disk of mass m = 2.95 kg and radius r= 0.200 m rotates about a fixed axis…

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Q: A uniform solid disk of mass m = 2.94 kg and radius r = 0.200 m rotates about a fixed axis…

A: Mass of disk = m = 2.94 kg Radius = r = 0.2 m Angular frequency = ω=5.94 rad/s Part a. When the axis…

Q: A uniform solid disk of massm = 2.97 kg and radius r = 0.200 m rotates about a fixed axis…

A: Given Data: The mass of disk is m = 2.97 kg. The radius of disk is r = 0.2 m. The angular velocity…

Q: A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm,…

A: Given: Thickness of disk b = 8.5 mm. Radius of disk R = 3.5 cm. Radius of short axle Ro = 3.2 mm.

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a…

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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: The towline exerts a force of P= 6 kN at the end of the 8-m-long crane boom. If e = 30°, determine…

A: Force 'P'  can be resolved into two components Psinα⇒ perpendicular to AOPcosα ⇒ parallel to…

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: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

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Q: A 1.10 kg solid, uniform disk of radius 0.180 m is released from rest at point A in the figure…

A: Solution:- Given m=1.10 kg r=0.180 m. (Solid uniform disk ) h1=1.80 m h2=0.350 m

Q: The balance wheel of a watch oscillates with angular amplitude 1.0n rad and period 0.34 s. Find (a)…

A: From the data given in the question, the equation of Simple Harmonic Motion can be built as shown…

Q: A uniform solid disk of mass m = 2.99 kg and radius r= 0.200 m rotates about a fixed axis…

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Q: The wheel is attached to the spring. The mass of the wheel is m-20 kg. The radius of the wheel is…

A: Most of the question information given is irrelevant. Required information; L2=4m angle=30 degree

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 glass bead of diameter 1.70 mm and density 2.89 g/cm3 spins uniformly at a rate of 37 rad/s along…

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Q: A uniform solid disk of mass m = 2.99 kg and radius r = 0.200 m rotates about a fixed axis…

A: Given : Mass of a uniform solid disk (m) = 2.99 kg Radius (r) = 0.200 kg Angular frequency (w) =…

Q: A hoop of radius RH and mass mH and a solid cylinder of radius Rc and mass mc are released…

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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: An 1150kg automobile has springs with k = 16,000N/m. One of the tires is not properly balanced; it…

A: The natural angular frequency (ω) of the harmonic oscillations is,  ω = km  --------(1) where…

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.