A uniform solid sphere of moment inertia I = 2/5 MR2 rolls on a horizontal surface at 20 m/s. It then rolls up the 30 degrees incline. If friction losses are negligible, what will be the value of h where the ball stops?
Q: A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 245 kg · m2 and is…
A:
Q: A wheel is rolling up a hill with a mass, M=13.1kg, a radius R=0.95m, and a moment of intertia…
A: Mass of wheel M = 13.1 kg Radius of wheel R = 0.95 m Moment of inertia I = 0.81 MR2 Maximum height…
Q: A solid 0.4150 kg0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius…
A: Given values: Mass of the ball, m = 0.415 kgRadius of the loop, R = 0.8750 mLet the speed at the top…
Q: Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the…
A:
Q: The system shown below is released from rest. The m, = 27 kg block is 2 m above the ledge. The…
A: (a) Find the speed of the 27 kg block just before it hits the ledge. (b)Find the angular speed of…
Q: A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has…
A: We are given the radius of turn table. We are also given its moment of inertia. This means that the…
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: disk rótates with a constant angular acceleration of 2.80 rad/s2. It starts from rest at t = 0, and…
A: Diameter =47.4 cm And radius r=23.7cm = 0.237m We have to find the angular speed and linear…
Q: A sphere with a diameter of 8.95 cm and mass of 460 g is released from rest at the top of a 3.30 m,…
A: Given: The diameter is d=8.95 cm The mass is M=460 g=0.46 kg The height is h=3.30 m The angle is…
Q: energetics of rotational motion. it is not incomplete, don't reject it.
A: the acceleration of the object having radius R and moment of inertia I is given by: a=gsinθ1+IMR2…
Q: A particle rotates about a fixed axis in an orbit of radius 20 cm with an angular acceleration of…
A: ACCORDING TO QUETION GIVEN IS RADIUS IS = 20 CM = .2 M ANGULAR ACCELERATION = 4 rad/sec…
Q: unicycle wheel is essentially a thin cylindrical shell, with radius 28 cm and mass of 440 g. A…
A:
Q: A wheel accelerates with a constant angular acceleration of 6.5 rad s-2 . If the initial angular…
A: Given data: Angular acceleration (α) = 6.5 rad/s2 Initial angular velocity (ω0) = 2 rad/s Time (t)…
Q: A solid disk of mass M = 0.600 kg and radius R = 0.250 m is suspended vertically and is free to…
A:
Q: P18. The track shown in the figure consists of two parts: the left part has rough surface, the right…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…
Q: A straight circular cylinder with a mass of 5.0 kg and a radius of 20 cm can rotate about the axis…
A: Given, Mass of cylinder, M=5 kg. Radius, R=20 cm. Torque, τ=4.0 Nm. Rotation period, t=8.0 s.…
Q: A rope is wrapped around the rim of a large uniform solid disk of mass 135 kg and radius 2.70 m. The…
A:
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: A disk with an initial angular velocity = 9 rad/sec experiences a constant angular acceleration…
A: Given,Initial angular velocity of the disk, ωi = 9 radsangular acceleration of the disc, α = 9…
Q: A uniform disk with radius R = [R} m and mass [M} kg rotates in a horizontal plane on a %3D…
A:
Q: A gyroscope has a 0.9 kg disk that spins around its axis of symmetry at 32 rev/s. The center of mass…
A: According to question--- Given that--- mass = 0.9 kg. Angular frequency = 32 rev /sec. R = 18 cm.…
Q: A playground merry-go-round of radius R 2.03 m has a moment of inertia of I 29.1 kg child hops onto…
A: Given information:
Q: A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.53 m/s when…
A:
Q: What is the linear velocity of the ring at point 3 in m/s?
A:
Q: A merry-go-round that can freely rotate is initially at rest. The merry-go-round has a radius of 1.4…
A:
Q: A particle rotates about a fixed axis in an orbit of radius 20 cm with an angular acceleration of…
A:
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 hoop is rolling without slipping along a horizontal surface with a forward speed of 4.81 m/s when…
A:
Q: A uniform solid sphere rolls without slipping down a 27° inclined plane. What is the acceleration of…
A:
Q: The angular position of a point on a rotating wheel is given by 0 = 1.03 +4.52t² + 4.61t³, where is…
A: θ =1.03+4.52t2+4.61t3 t=0 θ = 1.03+4.52(0)2+4.61(0)3 θ = 1.03rad w =dθ/dt =…
Q: A rope is wrapped around the rim of a large uniform solid disk of mass 155 kg and radius 2.00 m. The…
A:
Q: A sphere with a diameter of 13.85 cm and a mass of 365 g is released from rest at the top of a 2.90…
A: Given: D=13.85 cm=0.1385 mm=365 g=0.365 kgl=2.90 mθ=12.0°
Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…
A:
Q: A disk of radius R spins about its center at 1 revolution every Y seconds. Find the linear speed of…
A:
Q: A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has…
A: a) When gum falls on the table, its weight is the new force which starts acting in the downward…
Q: Two uniform circular disks of moment of inertia I = 3.0 × 10-3 kg · m2 about its center of mass and…
A: Given: w=6NI=3.0×10w=6-3 kg-mrR=0.25mg=9.8 m/sr
Q: Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can…
A: Given that can of soda is modeled as solid cylinder. diameter of can, d = 6.6 cm = 0.066 m mass of…
Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…
A: In rolling down on a inclined plan, The potential energy Mgh is converted in to linear and…
Q: Find (a) the constant tangential speed at which music is detected and (b) the angular speed (in…
A: The tangential velocity v is proportional to the radius r and the angular velocity ϖ as given be…
Q: A playground merry-go-round in the shape of a solid uniform disk of mass 105 kg and radius R = 2.20…
A:
Q: A robot wheel rotates with a constant angular speed of 3.8 rad/s. The radius of the robot wheel is…
A: Angular speed (ω) = 3.8 radsRadius (R) = 0.4 mt = 7 s
Q: The dung beetle is known as one of the strongest animals for its size, often forming balls of dung…
A:
Q: A m = 2kg ring has a radius of r = 0.5m. The moment of inertia of a ring is I = m r². The ring has…
A:
Q: A 22g ball moves from the centre to the outside edge of a 150g disk of radius 15.0 cm. The disk was…
A:
A uniform solid sphere of moment inertia I = 2/5 MR2 rolls on a horizontal surface at 20 m/s. It then rolls up the 30 degrees incline. If friction losses are negligible, what will be the value of h where the ball stops?
Step by step
Solved in 6 steps
