A cylinder (r = 0.131 m, Icm = 2.688Af—10-2 kg*m2, M = 1.75 kg) starts from rest and rolls without slipping down a plane with an angle of inclination of theta = 18.5o. Find the time it takes it to travel 1.45 m along the incline.
Q: In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm…
A:
Q: In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm…
A: When a question with multiple subparts is given and nothing specific is mentioned then according to…
Q: flywheel, a solid disk with moment of inertia 2.5 kg-m2, spins on a central axis at 400 RPM. A…
A: Moment of inertia of solid disk=(1/2)MR2 Torque=Iα I=moment of inertia α=angular acceleration…
Q: A hollow cylinder of mass 40.0 kg, inner radius 50.0 cm and outer radius 65.0 cm rolls without…
A: Given data: Mass of hallow cylinder, m=40.0 kg Inner radius, r=50.0 cm = 0.50 m Outer radius, R=65.0…
Q: A centrifuge has a rotational inertia of 7.30 × 10−3 kg⋅m2. How much energy must be supplied to…
A:
Q: A wheel of radius 0.274 m, which is moving initially at 45.0 m/s, rolls to a stop in 278 m.…
A: Given: radius, r = 0.274 m u = 45 m/s s = 278 m v = 0 m/s I = 2.48 kg m2
Q: In the figure, two 9.10 kg blocks are connected by a massless string over a pulley of kg-m2. The…
A: GivenMass of each block, m=9.1 kgRadius of pulley, r=2.3 cm=0.023 mRotational inertia, I=7.4×10-4…
Q: A disk drive is spinning at 10,000 rpm (1045 rad/s). It decelerates to rest in 0.42 s. The disk is…
A: Initial angular velocity of the disk, ωi=1045 rad/s Final angular velocity of the disk, ωf=0…
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 ball of radius 45.0 cm and mass 7.00 kg starts from rest and rolls without slipping down a…
A:
Q: The wheel in the figure has eight equally spaced spokes and a radius of 45 cm. It is mounted on a…
A: Radius ( R ) = 45 cm Angular speed = 2.4 rev/s Length of arrow ( L ) = 25 cm = 0.25 m
Q: In the figure, two 9.20 kg blocks are connected by a massless string over a pulley of radius 1.20 cm…
A:
Q: A wheel of radius 30.0 cm is rotating at a rate of 4.50 revolutions every 0.0910 s. (a) Through…
A: Dear student The angular velocity of a particle in circular motion is defined in radian/sec. There…
Q: A merry-go-round has a mass of 1550 kg and a radius of 7.40 m . 1.How much net work is required to…
A: Given information: Here, m is the mass of the merry-go-round, r is its radius, ωi and ωf are the…
Q: (a) How long does it take for the grinding wheel to stop? Your response is within 10% of the correct…
A: Solution:
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: A wheel of radius 0.164 m, which is moving initially at 54.8 m/s, rolls to a stop in 266 m.…
A: Given: radius of the wheel, R=0.164 m Initial linear velocity, u=54.8 m/s total displacement before…
Q: In the figure, two 9.40 kg blocks are connected by a massless string over a pulley of radius 1.60 cm…
A: GIVEN : mass of blocks(m1=m2) =9.4 kg radius of pully(r) =1.6cm rotational inertia(I)…
Q: 2). A solid disk with l= (1/2)*m*R^2 has a mass of m = 4.1kg and radius R=0.20 m. The disk starts…
A:
Q: A solid cylinder with a rotational inertia of (1/2 )MR2 is released from rest and rolls without…
A:
Q: A disc with radius 0.060 m and rotational inertia 0.051 kg.m^2 has a rope wrapped around its…
A:
Q: The driving belt is twisted so that pulley B rotates in the opposite direction to that of drive…
A: Given: Angular accleration (αA)=35 rad/s2t= 3sUsing: ωA=ωA0+αCt
Q: In the figure, two 8.00 kg blocks are connected by a massless string over a pulley of radius 1.40 cm…
A:
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: The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its…
A:
Q: A hollow, spherical shell with mass9.7 kg rolls without slipping down a 61.7° slope. Find the…
A:
Q: In the figure, two 5.30 kg blocks are connected by a massless string over a pulley of radius 1.80 cm…
A:
Q: A uniform spherical shell of mass M-13.0 kg and radius R -0.970 m can rotate about a vertical axis…
A: Given data: The uniform spherical mass, M=13.0 kg The radius, R=0.970 m The small object mass,…
Q: A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined…
A: Solution:Given:m = mass of solid cylinder = 4.6 kgr = radius of solid cylinder = 0.6 mθ = angle of…
Q: Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kg · m2,…
A:
Q: In the figure, two 5.40 kg blocks are connected by a massless string over a pulley of radius 2.40 cm…
A:
Q: A 34.0 kg wheel, essentially a thin hoop with radius 1.50 m, is rotating at 250 rev/min. It must be…
A:
A cylinder (r = 0.131 m, Icm = 2.688Af—10-2 kg*m2, M = 1.75 kg) starts from rest and rolls without slipping down a plane with an angle of inclination of theta = 18.5o. Find the time it takes it to travel 1.45 m along the incline.
Step by step
Solved in 2 steps
- A solid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.6350 m. What minimum translational speed ?min must the ball have when it is a height ?=0.9944 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?. Use ?=9.810 m/s^2 for the acceleration due to gravity.A solid cylinder with a mass of (5 kg) and a radius of (0.2 m) (I =12MR2) is initially rolling along a flat plane with a linear velocity of (10ms). The cylinder then comes to the edge of a ramp that is inclined by (34degrees) to the horizontal and begins to roll up the ramp. How high above the flat plane does the cylinder reach before it starts to roll back down?A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?
- A bar on a hinge starts from rest and rotates with an angular acceleration a = 13 + 7t, where a is in rad/s? and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.53 s. 226 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error, radIn the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units
- 9.16 A flywheel in a motor is spinning at 570.0 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 75.0 cm. The power is off for 33.0 ss, and during this time the flywheel slows down uniformly due to friction in its axle bearings. During the time the power is off, the flywheel makes 220.0 complete revolutions. At what rate is the flywheel spinning when the power comes back on? Express your answer in revolutions per minutes.Starting from rest, a solid disk rolls down 3.00 m along a plane inclined at 25.0 degrees with respect to the horizontal. What is the final speed of the disk?In the figure, two 6.30 kg blocks are connected by a massless string over a pulley of radius 1.30 cm and rotational inertia 7.40 x 104 kg-m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.800 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T,, and (d) string tension T,? Assume free-fall acceleration to be equal to 9.81 m/s. (a) Number Units (b) Number Units (c) Number Units (d) Number Units