Co 0 = 30° A sphere of weight W is released with no initial velocity and rolls without slipping on the incline.
Q: A solid cylinder rolls up an incline at an angle of 11°. If it starts at the bottom with a speed of…
A:
Q: A thin disk rotates about an axis that goes through its center perpendicular to its plane. The…
A:
Q: A solid cylinder starts from rest and rolls down an incline that is 6.50 m high without slipping.…
A:
Q: A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it…
A:
Q: A wheel which is initially at rest starts to turn with a constant angular acceleration. After 4…
A:
Q: A solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the…
A:
Q: In the figure, a solid cylinder of radius 22 cm and mass 16 kg starts from rest and rolls without…
A:
Q: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…
A: It is given that,
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A:
Q: In a circus performance, a large 5.0 kg hoop of radius 3.0 m rolls without slipping. If the hoop is…
A:
Q: playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…
A:
Q: A solid ball of mass 0.2 kg and radius 1.5 cm starts from rest then rolls without slipping down a…
A: mass = 0.2 kg r = 1.5 cm angle = 33 degree v at bottom = 2.5 m/sLet mass = m
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Recall law of conservation of angular momentam. I1ω1=I2ω2
Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…
A: Given data: Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…
Q: A solid cylinder rolls up an incline at an angle of 29°. If it starts at the bottom with a speed of…
A:
Q: A solid ball of mass 0.3 kg and radius 1.1 cm starts from rest then rolls without slipping down a…
A: PEtop=KEtrans+KErotbottommgh=12mv2+12Iω2=12mv2+1225mr2vr2h=7v210g
Q: The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of…
A: Given: Mass m=2 kg Radius r=0.5m Inertia I=4kg m2
Q: If the rotational inertia of a disk is 30 kg m2, its radius R is 2.2 m, and its angular velocity…
A:
Q: circular saw blade of diameter 0.215 m starts from rest. In a time interval of 5.95 s it accelerates…
A:
Q: A circular saw blade of diameter 0.250 m starts from rest. In a time interval of 5.85 s it…
A: Given data: Diameter (d) = 0.250 m Time interval (t) = 5.85 s Initial angular velocity (ω0) = 0…
Q: A disk has a constant angular acceleration of 5.81 rad/s/s about an axis perpendicular to the disk…
A:
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Applying the conservation law of angular momentum, Here, L, I, m, r, and ω represent the cylinder’s…
Q: What constant angular acceleration is required to reduce an object's angular velocity from 35.9…
A:
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Mass of cylindrical barrel (M)=10 kg Radius of the barrel (r)=0.5 m Initial angular velocity of the…
Q: A solid sphere (? = 2/5m?2) is released from rest at the top of a ramp, as shown. The ramp is tilted…
A:
Q: A disk with a radius of 1.20cm rolls in a straight line across a flat, horizontal surface. If the…
A: Given data The radius of the disk is R=1.20 cm. The initial angular speed is ωo=18.0 rad/s The final…
Q: A solid ball of radius 32.8 cm and mass 8.57 kg starts from rest and rolls without slipping down a…
A: Given, radius of solid ball , r = 32.8 cm mass , m = 8.57 kg Length , l = 9.35 m Inclination degree…
Q: A solid cylinder of mass 4.2 kg and radius 0.41 m starts from rest at the top of a ramp, inclined…
A: mass= m = 4.2 kg radius = r =0.41 m height = h = 2.4 m angle = 20 degrees
Q: A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it…
A: initial angular speed = 0 rpm = 0 rad/sec final angular speed = 18 rpm = 1.885 rad/sec Using ,…
Q: A uniform solid sphere rolls without slipping down a 24° inclined plane. What is the acceleration of…
A: The angle of inclination of the plane with the horizontal is θ=24°. Assume the acceleration due to…
Q: A medical saw is rotating at a constant rate of 15 revolutions per second. Calculate its angular…
A: Given data: Angular speed (ω) = 15 revolution per second Required: Angular speed in rad/s
Q: A wheel with a radius 0.51 rolls across the level ground, initially moving forward with a speed of…
A: Given: The radius of the wheel is 0.51. The initial speed of the wheel is 15.4 ms. The final speed…
Q: A figure skater is spinning with an angular velocity of 16 rad/s. She then comes to a stop over a…
A:
Q: hollow sphere with a radius of 0.24m, rolls down a 3.28m high ramp without slipping. If has an…
A: Givenm=0.82 kgr=0.24 mh=3.28 mω=0.37 rad/s
Q: A wheel with a radius of 0.70m is initially at rest upon the level ground. It begins to roll without…
A:
Q: A disk of mass 3.8 kg and radius 0.17 m starts at the bottom of a 25 degree incline. It's…
A:
Q: A71 kg solid sphere is released from rest at the top of an incline with height of h = 4.20 m and an…
A:
Q: A uniform solid disk of radius 3 m and mass 2.0 kg rolls without slipping. to the bottom of an…
A:
Q: a solid sphere and a hollow sphere have the same mass and radius. they are rotating with the same…
A:
Q: A disc of mass M and radius R is rolling without slipping. The ratio of its rotational kinetic…
A:
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
- A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as its rotating. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.A disk of radius 0.5 m is rotating with constant angular acceleration around an axis passing through its center as shown in the figure. It starts rotation at r = 0 with an angular velocity of 10 rad/s/ After making 30 revolutions, its angular velocity becomes 100 rad/s. Find the tangential acceleration (in m/s) of a point P on the rim of the disk P RA 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as its rotating. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.
- An 9.0-cm-diameter, 340 g solid sphere is released from rest at the top of a 1.8-m-long, 18° incline. It rolls, without slipping, to the bottom.What is the angular acceleration and how long will it take to decrease rotational speed by 27 rad/s?In the figure, a solid cylinder of radius 5.5 cm and mass 14 kg starts from rest and rolls without slipping a distance L = 6.9 m down a roof that is inclined at angle = 39°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 5.2 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number (b) Number i Units Units H
- A merry-go-round accelerates from rest to 0.72 rad/s in 37 s. Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it.pushes tangentially on a small hand driven merry-go- round. She is able to accelerate it from rest to 14 rpm in 10 s. Modeling the merry ga round as a uniform disk of radius 3.0 m and mass 780 kg, find the torque required to produce that acceleration. Neglect the frictional torque.