A system of point particles is shown in the following figure. Each particle has mass 0.3 kg and they all lie in the same plane. a. What is the moment of inertia of the system about the given axis (imagine the axis is out of the page)? b. If the system rotates at 5 rev/s, what is its rotational kinetic energy? 40 cm axis 20 cm 60 cm
Q: Two horizontal rods are each held up by vertical strings tied to their ends. Rod 1 has length L and…
A: Given:Length of rod 1 si L,Mass of rod 1 is M Length of rod 2 is 2L and Mass of rod 2 is 2M.
Q: 2. A force, F = 3 N acts on a cube at a point with a radial vector, r= 3 i+3 k. See diagram, If the…
A:
Q: A disk with a rotational inertia of 4.38 kg-m² rotates like a merry-go-round while undergoing a…
A:
Q: A dumbbellconsists of two 2-meter diameter spheres, each with a mass of 40 kg, attached to the ends…
A: Diameter of the spheres (D)=0.2 m Therefore, radius of the spheres (R)=0.1 m Length of the slender…
Q: The ball has a mass of 80 grams and is moving 10 m/s. The rod has a mass of 500 grams and a radius…
A:
Q: A triatomic molecule is oriented as follows along the x-axis: mass 2m is at the origin, mass m is at…
A: Given data: Mass 2m at origin Mass m at x = a And mass 3m at x = 2a Required: The moment of inertia…
Q: You plan to roll assorted objects down an incline with a fixed height. You want the object to have…
A: Given : To choose correct options.
Q: A. What are the astronauts' new speeds? B. What is the new rotational energy of the system?…
A: When the net external torque on a system is zero, then the angular momentum of the system is…
Q: The spinning top precesses at 1 revolution per second. The top has a mass of 400 grams and the…
A:
Q: A grinding wheel 0.40 m in diameter rotates at 2500 rpm. Part A Calculate its angular velocity in…
A:
Q: ▼ Part A What is the moment of inertia of the wheel for an axis perpendicular to the wheel at its…
A: To find the moment of inertia of the wheel, we can use the conservation of energy principle. The…
Q: A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels…
A: The given problem can be solved using kinematical equations for rotational motion. These equations…
Q: A typical helicopter with four blades rotates at 290 rpm and has a kinetic energy of 5.85 x 105 J.…
A: Solution: The angular velocity of the blade is given to be 290 rpm. Convert this velocity into the…
Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…
A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…
Q: When there is no food in my microwave oven, the acceleration of the turntable is 0.150 rad/s2. The…
A:
Q: A merry-go-round is spinning at a rate of 3.03.0 revolutions per minute. Cora is sitting 0.50.5 m…
A: Given that distance of Cora from the centre and distance of Cameron from the centre and also given…
Q: A mass of 0.6 kg is located at the end of a very light and rigid rod 50 cm in length. The rod is…
A: (a) The rotational inertia of the system is, I=mr2 The distance of the rotating object from the axis…
Q: A Solid cylinder with a moment of inertia 1/2mr2 and a hoop with moment of inertia mr2 are released…
A: Given :- I of cylinder = 1/2 (mr2) I of hoop = (mr2) α = 30o = π/6 rad. torque of cylinder = I α =…
Q: A ceiling fan is turned on and a net torque of 2.4 N-m applied to the blades. The blades have a…
A: Given that, Net torque, τ=2.4 N.m Moment of inertia, I=0.74 Kg.m^2
Q: A horizontal platform in the shape of a circular disk is rotating (without friction) about its…
A: Introduction: 1) Moment of Inertia: It is property possessed by the body which resist rotational…
Q: 4. If the plate shown in the figure has a density of 8000 kg/m' and a thickness of 0.01m, determine…
A: Inertia is defined as the resistance to angular acceleration of a body that is equivalent to the…
Q: 4. 2.0 y10g 200 E y 2.0xio 's Four masses each with mass 2.0 x 10² g are connected by thin rods that…
A:
Q: A Ferris wheel is rotating with an angular speed of 0.240 rad/s. An angular acceleration of 0.030…
A: Here we use equation of motion that can be applied only for constant angular acceleration
Q: A solid disc rotates with a constant angular acceleration, starting from rest. The disc completes 20…
A:
Q: A 25.0 kg child sits at the outer edge of a merry-go-round that has mass 200 kg and radius 4.0 m and…
A:
Q: A typical compact disk has a mass of 15 g and a diameter of 120 mm. What is its moment of inertia…
A: Given:Mass of the compact disk is 15g and diameter of the disk is 120mm.Formula :Write the…
Q: A child is riding a merry-go-round which completes one revolution every 12.0 s. The child is…
A:
Q: The moment of inertia of a uniform rod (about its center) is given by /= ML2/12. What is the kinetic…
A: Given: The mass of the rod is 450 g = 0.45 kg. { 1 g = 0.001…
Q: A potter's wheel (1 = 6.3 kg-m²) spins at 24 rad/sec. A 2.4 kg glob of clay is dropped vertically…
A:
Q: A typical helicopter with four blades rotates at 290 rpm and has a kinetic energy of 5.85 x 105 J.…
A: Given that-Kinetic energy, K=5.85×105 JAngular speed, ω=290 rpmwhere, ω=290×2π60 rad/sec=30.35…
Q: The object with mass m has moment of inertia I on its center of mass. If the moment of inertia is…
A: Given: The moment of inertia of an object about its center of mass is I. To find: The moment of…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- 13Please explain me step by step don’t go on chegg please formulas are provided in sheet use that please 13,15,16 13. A ring is dropped on a rotating cylindrical table. The ring is centered on the table and oriented with the same axis as the table. The ring has a moment of inertia of 2.0 kg.m2 and the table has moment of inertia of 4.0 kg.m2. The ring is initially not rotating and the table is rotating 5.0 rad/s. What is the angular momentum of the two after the drop? answer is 20 15. A uniform 120 N beam is supported in a horizontal position by a pin (hinge) and cable. The cable is at a 37.0-degree angle with the vertical., as shown in the figure. What is the tension in the cable in N?answer is 75.1 16. A tire of mass 3.00 kg is kept at rest by a force F on a 30.0-degree incline as shown. Assuming that the force F is the parallel to the incline and the static friction is large enough, what is the magnitude of the force? answer is 7.35Three rigid rods connect three small, identical balls in an isosceles triangle as shown. The mass of each rod is negligible. The mass of each ball is 300.0 grams. = 16.70⁰. a. Calculate the moment of inertia of the object for a rotation about the z-axis. Answer: 0.294 kg m². b. Calculate the moment of inertia of the object for a rotation about the y-axis. Answer: 1.034 kg m². 2.30 m 0 1.00 m 1.40 m
- Three solid spheres are attached to each other along the line joining their centers as shown in Figure 4. The spheres have the following masses and radii: , M2 = 10 kg M1 = 5 kg , M3 = 15 kg Rị = 2 m R2 = 3.2 m R3 = 4 m Calculate the moment of inertia of the system (three spheres) about the axis shown in the figure. M1 M2 M3 Figure 4A solid sphere with a radius of 0.38 and a mass 0.29 is set to rotate about its center. After a time of 13.1 s, its rotational kinetic is 20.1 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I = MR? %3DA solid sphere with a radius of 0.37 and a mass 0.32 is set to rotate about its center. After a time of 11.8 s, its rotational kinetic is 22.9 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I =MR? %3D
- A 154 g frisbee is 34 cm in diameter and has half its mass spread uniformly in a disc, and the other half concentrated in the rim. With a quarter turn flick of the wrist a student sets the frisbee rotating at 650 RPMs. A) what is the rotational inertia of the frisbee? B) what is the magnitude of the torque, assumed constant, that the student applies?A thin hoop of radius 0.6 m is rotating about its central axis with an angular velocity of +26 rad/s. At t = 0, a force F is applied tangentially to the rim of the hoop, and 4 s later, the hoop comes to a stop. The rotational inertia of the hoop about its central axis is 0.3 kg-m². a. What is the angular acceleration of the hoop while the net torque is applied? Include a plus/minus sign to indicate direction.A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7 kilograms, inner radius 25 centimeters, and outer radius 32 centimeters; and eight spokes of mass 0.50 kilograms and length 49 centimeters. a. What is the moment of inertia? Include units in your answer. More information. b. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 311 newtons at the inner radius, while the helmsman applies a force of 287 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer.
- A golfer is hitting a shot, the angular velocity of her club is zero at the top of the backswing and 30 rad/s at the bottom of the downswing just before impact with the ball. If the downswing lasts 0.30 s, what is the average angular acceleration of the club during the downswing? A. 100 rad/s^2 B. 10 rad/s^2 C. 100 deg/s^2 D. 30 rad/s^2 pick one answer only this is for biomechanicsA Bicycle tire has a radius of .4m and a mass of 2.2 kg. What is the moment of inertia for the bicycle tire? The bicycle completes 4.5 rotations in 2.8 seconds. What is the magnitude of the kinetic energy in the tire?A 0.8 m Mass Moment of Inertia. For each system, find the mass moment of inertia about an axis going through Point A (perpendicular to the paper). c. Point A is in the upper left corner of the object shown. It has a uniform area density of 120 kg/m². 0.4 m 0.8 m A - 0.4 m 120 kg/m² 0.4 m 0.4 m d. The system is 15kg uniform isosceles triangle with a height of 0.33m and a base of 0.26m. Point A is at the lower left corner of the triangle. m = 15 kg 0.26 m 0.33 m