A simple pendulum is made of a 2 m- string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, e'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: A thin rod of length 0.75 m and mass 0.42 kg is suspended freely from one end. It is pulled to one…

A:

Q: A uniform solid disk of mass m = 3.00 kg and radius r = 0.200 m rotates about a fixed axis…

A: The moment of inertia of the disk is Now, the angular momentum of the disk can be obtained as

Q: Consider a pendulum with a 4 kg mass hanging from a light string. If the pendulum is 0.3 m long, and…

A: SOlution: Given that m = 4 kg L = 0.3 m angle = 32.9 degree

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

A:

Q: As a solid disk rolls over the top of a hill on a track, its speed is 60 cm/s. If friction losses…

A: Given: The initial speed of the disk is 60 cm/s. The height rolled by the disk is 12 cm.…

Q: The balance wheel of a watch oscillates with angular amplitude 0.91π rad and period 0.54 s. Find (a)…

A: Given :    angular amplitude, T = 0.91π    Period, t = 0.54 s

Q: Given: ASF. Rod mass = 10 kg. A couple, M is applied. The rod started from rest with spring…

A:

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

A:

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…

A:

Q: The masses 'm' are directly connected to one another by two parallel and identical close coiled…

A: Given- N=800 rpm ω=2π80060ω=83.73 rad/s The radius of ball=70mm or 0.07m x length of ball arm=85mm…

Q: 6. A solid cylinder of mass M and radius R is connect to a rod of length L= 2R and mass = ½ M which…

A: As per Bartleby guidelines I have solved first question out of multiple questions and if you want…

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 rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod…

A:

Q: A block of mass 0.74 kg is suspended by a string which is wrapped so that it is at a radius of 0.069…

A:

Q: For the circular cam in the posture shown, the angular velocity of the cam is w2 = 15 rad/s ccw.…

A:

Q: The throttle-control lever OA rotates in the range 0 ≤ 0 ≤ 90°. An internal torsional return spring…

A: Take moment about O. M=T→×r→Kθ+π4=Tr→sinθ+45°760θ+π4=T→30sinθ+45°

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:

Q: A thin rod of mass m = 3 kg and length L = 0.5 m is attached at one end to a hinge on a wall. It is…

A:

Q: We hang a body on a 2.0 m long string and lift it so that the string forms an angle of 40° with the…

A: Given data: Length of sting (L) = 2 m Angle = 40°  Need to determine the angular velocity when it…

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…

A:

Q: Assess: Assume that we have the same spring and mass system, onlynow the cylinder is released from…

A: Given data The mass of the cylinder is M The radius of the cylinder is R The spring constant of the…

Q: A simple pendulum is formed of a rope of length L = 0.7 m and a bob of mass m. When the pendulum…

A: The situation of the pendulum is shown below.

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

A:

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

A:

Q: A thin, circular hoop is released at the top of an incline that is 5.0 m long and makes an angle of…

A: Data Given ,  Length of the inclined plane ( L ) = 5 m  Angle of inclination ( θ ) = 63° Applying…

Q: A pendulum consists of a rod of length 2 m and mass 3 kg with a solid sphere of mass 1 kg and radius…

A: Moment of inertia of rod: Moment of Inertia of sphere at the end of the rod : Total moment of…

Q: A simple pendulum is formed of a rope of length L = 1.6 m and a bob of mass m. When the pendulum…

A: Length of the rope,l=1.6 m Angle=10⁰ Speed of the bob = 2 m/s

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given that:- Length of string=2m

Q: The smooth particle has a mass of 108.23 g. It is attached to an elastic cord extending from O to P…

A: Given data:-  The smmoth particle mass = 108.23 g  The horizontal circular path r = 0.8sinθ m  The…

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…

A:

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

A:

Q: Two circular cylinders have the same mass and dimensions, but one is solid while the other is a thin…

A: According to the given figure, the linear acceleration a of the cylinder is calculated in the…

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: When a 3 kg mass is hung on a vertical spring, it extends the spring by 3.00 m. What is the angular…

A: The spring force can be given as, k=mgx=3 kg9.8 m/s23 m=9.8 N/m

Q: A 51 kg hoop of radius 1.3 m, initially rotating at 481 revolutions per minute, is brought smoothly…

A:

Q: A solid disk with radius r = 10cm rolls smoothly from rest from the top of the roof that is 12m long…

A: The situation of the solid disk is shown below. Here, l is the length of the inclined roof, h is…

Q: A ball of radius R=25cm and mass M=0.43kg is compressed against a spring of spring constant k=316N/m…

A: We have a ball of mass M=0.43 K and radius R=25cm=0.25 m which compresses a spring of constant k=316…

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

A:

Q: Let’s approximate the motion of a yo-yo with that of a solid cylinder with a string wrapped around…

A: Given data The string length is: H = 1.2 m The mass of the cylinder is: m = 0.1 kg The radius is: r…

Q: A rotating flywheel can be used to store energy. If it is required to store 1.00 × 10^5 J of energy…

A:

Q: determine the period of this physical pendulum.

A:

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

A:

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.