1. Two 2 kg masses is placed at either end of a rod that has a mass of 0.5 kg and a length of 3 m. What is the moment of inertia if the system it is rotated about (a) one end of the rod and (b) the center of the rod?
Q: 4. Two identical, 1.50-kg point masses are supported on a rod with negligible mass. The rod and…
A: Given: Formula used:
Q: 1. Determine the mass moment of inertia of the thin flat plate of mass m about the y-axis. x = ky
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Q: 1. A solid cylinder of mass M=3.0 kg and radius R= 5.0 cm is rolling without slipping on a…
A: Given:- The solid cylinder of mass m = 3 kg The rolling with the radius R = 5.0 cm = 0.05 m The…
Q: 9. A uniform sphere, cylinder, and hoop (each with the same mass M and radius R) are going to…
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Q: 5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.00 kg.m² and an…
A: Given data *Disk A has the moment of inertia is IA = 3.00 kg.m2 *Disk A has the angular velocity is…
Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.00 ×10° moment of…
A: The initial angular velocity of the disk, ωi=4.00×10-2 rad/s The moment of inertia of the disk,…
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Q: 5. A 6 ft board with mass of 2 kg is horizontal and attached to a swivel on one side,the other is…
A: As one end of the board is fixed, and the other end is allowed to fall freely, the board swivels…
Q: 2. A 0.02 kg mass red object (bead) is moving at a speed of 10.0 m/s when it sticks to the edge of a…
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Q: A wheel is attached directly to the shaft of a motor. When the motor applies a constant torque of…
A: Dear student The relation between Torque, Angular acceleration and Moment of Inertia is given as :…
Q: 3. A solid disk rotates in the horizontal plane at an angular velocity of 4.90 × 10~2 rad/s with…
A: Given :The initial angular velocity of disk,ωi=4.90 x 10-2 rad/sMoment of inertia of the disk,…
Q: 8. A point mass of 0.300 kg initially at rest is attached to a string and set into circular motion…
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Q: An object is formed by attaching a uniform, thin rod with a mass of mr = 6.57 kg and length L = 5.2…
A: mass of the rod = mr = 6.57 kg length = L = 5.2 m mass of sphere = ms= 32.85 kg
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Q: A 0.1 kg solid sphere with a radius of 10 cm is rotating counterclockwise at an angular velocity of…
A: IN case of angular motion torque will be cause of resistance m= 0.1 kg r = 0.10 m ω= 1.5 rad…
Q: Consider a bouncy ball and a metal cylinder on a 20° incline. Everyone knows a regular bouncy ball…
A: Given that: θ=20°mb=29g=0.029 kgDb=2.5 cmRb=2.5 2=1.25 cm=1.25×10-2 mLc=5 cm=0.05 mDc=1…
Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.30 x10-2 rad/s with…
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Q: 2. A hollow sphere of radius R = 0.15 m rolls without slipping on a horizontal surface. The moment…
A: A sphere or a wheel or primarily a circular body that is rolling over a horizontal surface…
Q: 9. Two weights are placed on opposite sides of a seesaw which has a pivot in the middle (similar to…
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Q: 4. A volleyball player's 3.7-kg arm moves at an average angular velocity of 15 rad/s during the…
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Q: A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.8 x 10-2 kg-m², and a radius of 0.100…
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Q: 3. A sphere and a hoop, both with mass M, radius R, and moments of inertia of Isphere =MR² and Inoop…
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- 45. Show that the moment of inertia of a sphere of radius R of total mass M with uniform mass density about any axis passing through the cen- ter of the sphere is MR2. Note that the mass density of the sphere is 8 = M/(r R*).18. Particles 1 and 2 of same mass m are fixed to the end of a rigid massless rod. Particle 1 is located at distance L1 = 20 cm from the pivot point. Particle 2 is located at distance L2 = 80 cm from the pivot point as shown in the drawing. The rod is held horizontally on the fulcrum and then released. What is the magnitude of the angular acceleration of the system after released?9. A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with outstretched arms is 5.0 kg-m?. (Answer: I = 1.7 kg · m²)
- Diving from a high cliff, Cliff begins with a moderate rotational speed of a half rotation per second. Rank the following positions (and their moments of inertia) that cliff can assume during his dive, from the lowest rotational speed he will experience to the highest. + 1. Standing straight up, spinning about a head-to-toe axis: I = 0.3 kg m2 + 2. Bent in half, about an axis through his waist: I = 4 kg m- %3D + 3. Standing straight upwards, about an axis through his waist: I = 16 kg m2 + 4. Mass tucked inwards into a ball: I = 0.8 kg m- + 3. Arms out, spinning about a head-to-toe axis: I = 1.2 kg m21. The propeller of a World War II fighter plane is 2.2 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev / min? W= rad/s (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac g1. A person holds his outstretched arm at rest in a horizontal position. The mass the arm is m and the length (L) is 0.74. When the person releases his arm, allowing it to fall freely, it begins to rotate about the shoulder point. Find the angular acceleration of the arm at this moment. Assume: Moment of Inertia = (1/3) mL² Mass= S Length: 0.74 Moment of Inertia= (1 horizontal surt A cat walks along a uniform board that is 4.0 meters long and has a mass of e board is supported by two sawhorses, one 0.44 m from the left end, the ot 5 m from the right end. When the cat reaches the right end, the board just gins to tip. What is the mass of the cat?
- 4. A playground toy has four seats, each 5.0 kg, attached to very light, 1.5 m long rods, as seen from above in the figure. If two children with masses of 15 kg and 20 kg, sit in seats opposite one another, what is the moment of inertia about the rotation axis? 1.5 m1. A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher's hand is 31 m/s and the pitcher's forearm is 0.3 m long, what is the angular velocity of the forearm? Hint: Drawing a small cartoon could be helpful. rad/s @=7. A 65 kg person stands at the edge of a stationary merry-go-round platform (diameter 5.5 m) which can turn with no friction. The moment of inertia of the platform is 1850 kgm?. Now the person runs around the edge of the platform at 4.0 m/s with respect to the platform. Calculate the angular velocity of the platform.