m |R M
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A: Given data: The magnitude of the force is F=50 N. The radius of the cylinder is r=4 m. The mass of…
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Q: through aive beit that Joins a pulley on pulley that is igidly 48.5 kg and a radius R = 0.625 m. It…
A: Moment of inertia of the flywheel will be, I=12mR2 The expression for torque will be, τ=Iατ=12MR2α
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Q: radius The figure shows a uniform disk that can rotate around its center like a merry-go-round. The…
A: In this question we have to find the value of Force F2. Please give positive feedback if the answer…
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Q: An object with a mass of m = 5 kg is attached to the free end of a light string wrapped around a…
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Q: Find the tension in the lower (slack) segment of the belt.
A: The equation for torque can be given as The moment of inertia of the flywheel can be given as The…
Q: Consider a steering wheel, which is modeled as a hoop (I = M R2) of mass 2.9 kg and radius 0.35 m.…
A: Given: The mass of the wheel is 2.9 kg. The radius of the wheel is 0.35m. The force on the wheel is…
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Q: Consider the diagram below. The axle radius is 1 m and the wheel radius is 4 m. A 1600-N load is…
A: Given The axle radius = 1 m the wheel radius = 4 m. load = 1600-N The moment of inertia of the…
Q: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a…
A: The given values are, M=81.0 kgR=0.625 mr=0.230 mTu=142 Nα=1.67 rad/s2I=12MR2=1281.0 kg0.625…
Q: A uniform rod of length L = 2.0 m and mass M = 5.0 kg on a frictionless tabletop freely rotates…
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Q: A large stone disk is viewed from above and is initially at rest as seen in the figure below. The…
A: Given M = 175 kg r = 2.5 m F = 40 N T = 61 s
Q: You are riding your bicycle down the street at a speed of 13 m/s. Your bicycle's frame has a mass of…
A: Given data: Speed v=13 m/s Mass of the bicycle m=5.9kg Mass of one wheel is M =2.3kg Radius r=0.34m
Q: A large stone disk is viewed from above and is initially at rest as seen in the figure below. The…
A: mass (m) = 145 kg radius (r) = 2.2m F = 40 N t = 59 s
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Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…
A: Variables known, Radius of the disk is 2.3cm or 2.3x10-2m, Mass of the disk is 20grams or…
Q: 1 Just before the impact, what is the angular momentum (magnitude and direction) of the combined…
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Q: A spherical shell of radius 3.34 cm and a sphere of radius 6.97 cm are rolling without slipping…
A: E=Etrans+Erot=12mvshell2+12Iωshell2=12mrshellωshell2+1223mr2shellωshell2=56mrshellω2shell...........…
Q: You are riding your bicycle down the street at a speed of 15 m/s. Your bicycle's frame has a mass of…
A: The angular speed of the wheel is, ω=vr=15 m/s0.32 m=46.9 rad/s The rotational kinetic energy of the…
Q: In the figure, wheel A of radius rA = 5.17 cm is coupled by belt B to wheel C of radius rc = 23.2…
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Q: A ring (hollow cylinder) of mass 3.10kg, inner radius 9.63cm, and outer radius 10.93cm rolls…
A: We have givenmass of ring (m)=3.10 kgInner radius (r)=9.63 cm=9.63×10-2 mOuter radius (R)=10.93…
Q: You are riding your bicycle down the street at a speed of 14 m/s. Your bicycle's frame has a mass of…
A: mass of bicycle's frame (m) = 6.6 kg mass of each wheel (M) = 2.2 kg radius of each wheel (r) = 0.35…
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Q: Problem 7: Consider the 10.5 kg motorcycle wheel shown in the figure. Assume it to be approximately…
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Q: A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope…
A: Step 1: Step 2: Step 3: Step 4:
Q: A bullet with mass of 25 grams traveling at speed of 185m/s hits the end of a rod as shown. The rod…
A: The mass of the bullet m = 25 g = 0.025 kg The speed of the bullet v = 185 m/s The mass of the rod M…
Q: A car has wheels of radius 30 cm. It starts from rest and accelerates uniformly to a speed 15 m/s in…
A: Given, Radius r = 30 cm = 0.3 m speed vf = 15 m/s time t = 8 s We know the expression for…
Q: In the figure, wheel A of radius rA = 13.2 cm is coupled by belt B to wheel C of radius rc = 26.2…
A: GivenrA=13.2 cm=0.132 mrc=26.2 cm=0.262 mαA=1.17 rad/s2
Q: You are riding your bicycle down the street at a speed of 12 m/s. Your bicycle's frame has a mass of…
A: Calculate the total mass of the bicycle.
A stationary bicycle wheel of radius 0.7 m is mounted in the vertical plane (see figure below). The axle is held up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. The wheel has mass 4.3 kg, all concentrated in the rim (the spokes have negligible mass). A lump of clay with mass 0.5 kg falls and sticks to the outer edge of the wheel at the location shown. Just before the impact the clay has speed 8 m/s, and the wheel is rotating clockwise with angular speed 0.27 rad/s. Assume +x is to the right, +y is upward, and +z is out of the page. Assume the line connecting the center to the point of impact is at an angle of 45° from the horizontal. Just before the impact, what is the
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- Consider the 12.0 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R₁ = 0.280 m and an outer radius of R₂ = 0.480 m. The motorcycle is on its center stand, so that the wheel can spin freely. R₁ (a) If the drive chain exerts a force of 1825 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s²? rad/s2 (b) What is the tangential acceleration, in m/s², of a point on the outer edge of the tire? m/s² (c) How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s?A bicycle wheel is mounted on the wall so that it can spin frictionlessly along a horizontal axle that passes through its center. A ladybug with mass m₁ = 1.4g lands on the rim of the wheel, a distance r₁ = 31 cm from the center of the wheel and at an angle 0₁ = 75° clockwise from the top of the wheel. At the same moment, a bumble bee lands on one of the spokes, a distance r2 = 15 cm from the center of the wheel and at an angle 02 = 12° counterclockwise from the top of the wheel. Suppose that you keep the wheel stationary by applying a horizontal force F = 0.013 N to the bottom of the rim of the wheel (i.e., the same distance from the center as the ladybug). What is the mass m2 of the bumble bee? The symbolic answer should be stated in terms of m1, 1, 01, T2, 02, F, and g, though not all of these quantities may be needed.The figure shows three 0.0115 kg particles that have been glued to a rod of length L=5.79 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is the middle one?
- A block of mass mb = 3.0 kg is released from rest on a smooth incline and is attached to a rope that is wound around a small disk which can be assumed to have zero mass and has a radius of r = 0.3 m. This disk is fused to a larger disk with moment of inertia of 1 = 4.5 kg m². These two disks rotate along frictionless bearings as in the figure below. Assume that the angle of incline is 30 degrees. If the block begins to slide down the incline what is the magnitude of the acceleration of the block in m/s²?A spool of thread consists of a cylinder of radius R, = 4.2 cm with end caps of radius R, = 10.8 cm as depicted in the end view shown in the figure below. The mass of the spool, including the thread, is m = 180 g. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T = 0.450 N acting to the right is applied to the free end of the thread. For the moment of inertia treat the spool as being a solid cylinder of radius R,, as the extended edges are thin and therefore light. \R2 (a) What is the acceleration of the spool? Take positive to be to the right. |m/s² (b) Determine the direction of the force of friction. O to the left O to the right O straight up O straight downThe figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.8 cm and a mass of 22 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3s the disk has an angular velocity of 210 rad/s counterclockwise. Force F₁ has a magnitude of 0.105 N. What is magnitude F₂? F Number Units F2
- The left-hand end of a uniform rod of length L and mass m is attached to a vertical wall by a frictionless hinge. The rod is held at an angle θ above the horizontal by a horizontal wire that runs between the wall and the right-hand end of the rod. The wire breaks and the rod rotates about the hinge. What is the angular speed of the rod as the rod passes through a horizontal position? (Express your answer in terms of some or all of the variables m, g, L, θ.)In the figure, wheel A of radius rA = 8.29 cm is coupled by belt B to wheel C of radius rc = 25.3 cm. The angular speed of wheel A is increased from rest at a constant rate of 2.63 rad/s?. Find the time needed for wheel C to reach an angular speed of 66.1 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.) B Number i UnitsA car has wheels of radius 30 cm. It starts from rest and accelerates uniformly to a speed 15 m/s in a time of 8.0 s. Find the angular acceleration of its wheels and the number of rotations one wheel makes in this time
- The figure shows three 0.0186 kg particles that have been glued to a rod of length L=5.67 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis (a) Number Units (b) Number UnitsA spherical shell of radius 3.09 cm and a sphere of radius 7.47 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed to the sphere's angular speed be?A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 55.0 kg that rests on a platform. The cylinder has a mass of 255 kg and a radius of 0.490 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under the block. The block falls down toward the ground and as it does so, it causes the rope to unwind and the cylinder to rotate. (a) What is the angular acceleration, in rad/s², of the cylinder? rad/s2 (b) How many revolutions does the cylinder make in 5 s? rev (c) How much of the rope, in meters, unwinds in this time interval?