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Q: In the figure here, three particles of mass m = 0.022 kg are fastened to three rods of length d =…
A: Given data:mass of each particle (m) = 0.017 Kglength of each rod (d) = 0.13 mAngular speed ω= 0.950…
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A: Given Length of rod L = 1.00 m m1 = 4.00 kg m2 = 3.00 kg speed of both the particles v = 4.00 m/s
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Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Consider the following figure which represents the rod and mass system before and after the…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Answer: ω= 0.147 rad/s Explaination: m= 5 kg initial angular momentum;…
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A: 1) Calculate the final moment of inertia when the disk strikes the stick. If=mr2+MR23If=(51.5 g×1…
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Q: Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides…
A: the moment of inertia of a cylinder about its central axis is I1=12Mr2
A thin, homogeneous square of mass m and side a is welded to a vertical shaft AB with which it forms an angle of 45°. Knowing that the shaft rotates with an
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- A child's top is held in place upright on a frictionless surface. The axle has a radius of r 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R SP 9.15 x10¬3 kg-m² L = S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T 2r T 2.42 x10-4 kg-m? = IncorrectA wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d < R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is mechanical energy of the clay–cylinder system conserved in this process?The cylindrical plug A of mass mA = 2.7 kg is released from rest at B and slides down the smooth circular guide. The plug strikes the block C of mass mc = 2.1 kg and becomes embedded in it. Calculate the distances which the block and plug slide before coming to rest. The coefficient of kinetic friction between the block and the horizontal surface is uk = 0.38 and the distance r = 2.08 m. Hk Answer: s= i mc A MA B m
- A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.1 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)The member shown below is fixed at O and its dimensions are h1h1 = 1.10 mm, h2h2 = 0.20 mm, and ww = 0.50 mm. A force F of magnitude F=160N is applied at point C. Determine the magnitude of the moment of the force about point O.A disk of radius R and mass M has initial angular velocity ωi. It is flat on a horizontal surface and friction is present. The center of mass speed is zero (always) in this problem. Find the time it takes for the disk to stop spinning.
- A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.63 m/s, strikes the rod at angle θ = 55° from the normal at a distance D = 2/3 L, where L = 1.25 m, from the point of rotation and sticks to the rod after the collision. a) What is the initial angular momentum of the ball, in kilogram meters squared per second, right before the collision relative to the pivot point of the rod? b)What is the total moment of inertia If with respect to the hinge, of the rod-ball-system after the collision, in terms of the variables from the problem statement? c) What is the angular speed ωf of the system immediately after the collision, in radians per second?Two identical tops, #1 and #2, spin with angular velocities ω1 = 10 rad/s counterclockwise and ω2 = 12 rad/s clockwise. The tops bump into one another and separate. After the collision, the first top has angular velocity of 5 rad/s counterclockwise. During the collision, the force of impact is along the line connecting the centers of the top, so no torque is exerted on either top. What is the magnitude of the angular velocity of the second top? Does the top spin clockwise or counterclockwise?In the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed w = 0.55 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? M (a) /= i (b) L₂ = i (c) Ltot 0 m