A small particle of mass mp= 20.0 g that is moving at a speed of vb,0=10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder of mass m=0.5 kg, radius Rcyl=10.0 cm, and thickness L=1.0 cm that is rotating counterclockwise (CCW) at wcyl,0=100.0 rad/s. The moment of inertia of a cylinder is Icyl = 1/2mcylr2cyl. A. Calculate the initial angular momentum of the particle just before it collides with the cylinder. B. Calculate the initial angular momentum of the cylinder before it collides with the particle. C. Calculate the moment of inertia of the system Isys = Icyl + Ip after the collision. D. Calculate the nal angular speed wsys,0 of the system after the collision. Indicate the direction. E. Calculate the change in kinetic energy of the system.

Q: a) Is there momentum in the x-direction? b) Is there momentum in the y-direction? c) Is there…

A:

Q: For the bar OC: mass-m, length=b, bar AB: mass=2m, length=26b ; for the slider A and B: mass-m. The…

A: To get the kinetic energy of the system, it is necessary to calculate the kinetic energy of each of…

Q: 20f7: A 4kg circular ring, shown in the figure, rolls down the inclined plane without slipping with…

A:

Q: a=22mist 16w/ Figure Q) “The mass of ahuckey puck 0.80Kg slides on horizontal, frictionless surface…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: RWS-1 Consider a bowling ball which is tossed down a bowling alley. For this problem, we consider…

A:

Q: consider the slider-crank mechanism shown. Crank AB is 0.300 m long. Rod BD is 0.600 m long. The…

A:

Q: (Q 4] (a) The equation of a hill path is given by: Y = -0.001 x +0.2 x A small vehicle of mass 80 Kg…

A: Given, M=80kgY=-0.001x2+0.2xY=x(-0.001x+0.2)At Y=0,x=200mThus S=100m when initial velocity u=0

Q: St. in the oyster oysters are two slits connected by tricks (ignoring the mass) and passing around…

A:

Q: Sm 8 m/s 15m 0 AI 6 m/s

A:

Q: first one

A: Given data as per the question θ=tan-112

Q: 1a. Which of the following momentum equations about B is CORRECT for the system of the croquet ball…

A:

Q: The tofal sleeve movement in a Hartnell governor is 3 cm. The mass of rotating balls is Y.5 kg each.…

A: Given data: h=3 cmb=6.5 cma=7.5 cmr=10.5 cmm=1.5 kgN1=415 rpmN2=430 rpm Need to determine the…

Q: Find the Following: 1.Keq 2. Ceq 3. Natural angular velocit

A:

Q: An object with mass m = 2kg is moving in a uniform circular motion with radius r = 2m as shown in…

A:

Q: 65 A particle can slide along a track with elevated ends and a flat central part, as shown in Fig.…

A:

Q: A thin rod of length 2L and mass M lies flat on a frictionless plane. It is not hinged (attached) to…

A: Given Length of rod is 2L Mass of rod is M mass of ball is m Initial velocity of the ball is vo

Q: A smooth rod of mass M, length L = 1 (m), is rotated at one end with a constant angular velocity w =…

A: Given: Mass of the insect is 0.02 kg. Length of the rod is 1 m. Angular velocity is 3 rad/s. Linear…

Q: Question 2 A spherical ball of mass 0.2 kg and radius 0.1 m was released from the top of a platform…

A:

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t=0, the pendulum is at its…

A: Given: length of string = 50 cm initial velocity at t=0 is (v)=2 m/s To find: maximum angular…

Q: Chapter 08, Problem 053 GO In the figure, a 2.6 kg block is accelerated from rest by a compressed…

A: Given data: Mass of the block (m) = 2.6 kg Spring constant (k) = 640 N/m μk=0.22 D = 7.6 m Need to…

Q: A metal spherical shell bearing, m1=1.2 kg, r1=22 cm, is rotating on a metal rod of negligible mass…

A: given : Bearing mB = 1.2 kg ωB = 15 rad/s rB = 22 cm = 0.22 m   Flywheel mF = 3.1 kg ωF = -8 rad/s…

Q: How high can the mass be dropped without an initial velocity so that the amplitude of the…

A:

Q: A smooth rod of mass M, length L = 2(m), is rotated at one end with a constant angular velocity w =…

A: Given: mass of the insect m=0.01kg Length of the rod (L)=2m velocity of the insect v=3m/s Angular…

Q: A hoop with mass M and radius Rrolls on a horizontal floor at constant angular velocity (w = do/dt)…

A: Givenmass of Hoop =mradius of hoop =R

Q: The rod OA in Fig.1 rotates counterclockwise, its angular position (0) varies with time (t)…

A: Since you have asked multiple sub-parts only the first three sub-parts are solved for you. If you…

Q: A particle of mass m is suspended from the ceiling of a hollow block a massless cord as shown in the…

A: Given data: Image with relevant details as shown   To determine: 'a' in terms of θ,ϕ,g

Q: Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft…

A: For solution refer below images.

Q: @1, W1 Z 1.5 m A W2, W₂ 12 m B At the instant 0 = 30°, the frame of the crane is rotating with an…

A:

Q: Calculate the angular momentum (HG) of a motor car wheel which has a radius of gyration (KG) = 450…

A: Given data:-  Radius of gyration (kG) = 450 mm diameter of wheel (d) = 0,8 m mass of wheel (m)= 6.5…

Q: Consider beam ABC of the seesaw to be a slender rod with a mass of 3kg. (Hint: Irod = mL2/12)  One…

A: Given: The mass of the slender rod, M = 3 kg The mass of the ball, m = 0.6 kg The velocity of ball,…

Q: A time-dependent force, F = (7.30oî – 3.55tj), where F is in newtons and t is in seconds, is exerted…

A:

Q: Q5: A, B, C and D are four masses carried by a rotating shaft at radii 120 mm, 130 mm, 140 mm and…

A:

Q: In the system in the figure, the total mass of two plates of the same thickness, made of the same…

A: For a given system, Mass of the two plates, M= 70kg A1=1mB1=0.6mA2=1.2mB2=0.4mM= 50Nmwe know…

Q: flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning…

A:

Q: Q2) A bowling ball is modeled as a sphere with uniform density and mass mball= 2.52 kg and radius r=…

A: Rolling Motion : it is a combination of translation motion and rotation motion. if we consider a…

Q: A 1024-kg blue ball is dropped from an initial z-position of 5.4 x 106 m through the center of a…

A: M=Mass of the Planet=37.7×1015 kgR=Radius From the Center of a Planet=6.3×106 mt=5sd=5.4×106 m

Q: An old vinyl record is a thin plastic disk of radius 0.25 m and mass 132 g. It is freely rotating at…

A: Givenradius of the disk r=0.25mmass of the disk m=132g=0.132kganglular velocity of the dsik…

Q: The rod OA in Fig.1 rotates counterclockwise, its angular position (0) varies with time (t)…

A: The equations are given by,

Q: IK the figure, a solid cylinder of radius 12 cm and mass 14 kg starts fr rest and rolls without…

A: for solution refer below images.

Q: length is 3 m (from A to B). If the rope were to be cut, what would the angular acceleration be…

A:

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,