Q.12 Consider a uniform thin circular disk of radius R and mass M. A concentric square of side R/2 is out from the disk (see figure). What is the moment of inertia of the resultant disk about an axis passing through the centre of the disk and perpendicular to it? R R/2 (A) I= "*[1 - 48 n (B) = "* (1 MR? 48 m MR? (C) I = 24 m MR? (D) I = 1
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- In a physics lab, Asha is given a 10.1 kg uniform rectangular plate with edge lengths 63.7 cm by 54.7 cm. Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .В C P D The above diagram shows four objects, A, B, C, and D, all moving to the right in a straight line at the same constant speed. Which one of the following statements is correct about the angular momenta La, LB, Lc, and Lp of the objects, with respect to point P? O LA = LB = Lc = LD> 0 O LA > LB = Lc > Lp = 0 LA = LB = Lc = LD = 0 LA> LB > Lc> LD = 0 LA > Lc> LB > LD = 0page A golfers clubs' linear tangential velocity at contact with the ball on the tee was recorded as 35.6 m/s. Given the distance from the club head to the golfers centre of rotation as 1.35 m calculate the angular velocity (radians/s) of rotation at the point of contact to 2 decimal places. Answer: ere to search B R Bi 5 T 6 B H 9 Pa O Finish attempt P 6°C Light ra
- Pls help ASAP.a top with radius 10cm, mass 2 kg has a string around the edge and is initially at rest. assume the top can be reasonably approximated as a solid cylinder. the top is held in place as the string is pulled. the string applies a force of 10N tangential to the edge for 2s. what is the angular velocity (in radians per second) of the top after 3 seconds? what is the angular momentum of the top after the string is pulled? after the string is pulled, the top is released. it travels away from its initial position at a linear velocity of 10m/s. what is the rotational velocity (in radians per s) at this top? assume no frictionA 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 rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image. The pulley can be considered as a uniform solid cylindrical disk. What is the equation for the net torque on the disc? Assume acceleration of blocks are a=(1/2)(9.8m/s2). What is the moment of inertia for this shape? (using the net torque equation from the above question, substitute the moment of inertia) The angular acceleration is correlated to the linear acceleration as α=r. Make the substitution into the torque equation in order to get the equation in terms of acceleration, α only.Solve for d, e, f onlyA disk of radius R and thickness t has a mass density that increases from the center outward, given by p = po (r/R), where r is the distance from the axis of the disk. What is the moment of inertia about the disk axis in terms of M and R? O MR 2MR O sMP 3MR 5 O 2MR 3 5MR 3
- Three point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=25 cm and the distance to mass ?3 is ?3=41 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?The figure above shows Einstein spinning on a platform. He is initially spinning at a rate of 1rev/s, and holding his hands a distance of R1 = 80.3 cm away from his body. He then pulls his arms in to a distance of R2 = 40cm, changing his rotational speed. In this problem you can model Einstein’s body as a cylinder with a moment of inertia I = 30MR2, where M is his mass (60kg), and R is the distance his hands are from his body. (Notice that the figure shows him holding weights, but we are going to assume they are massless, to make it simpler!)(a) If he draws his arms in very quickly, you can safely ignore any frictional force on the platform. Assuming this is true, how fast is he rotating after he draws his arms in? (b) In reality, after he draws his arms in friction will start to slow him down. If this small amount of friction is applying a torque of 4 Nm to the platform, how long would it take before Einstein stops moving?What is the moment of inertia a 30 cm long and 3.0 cm wide ruler, with a mass of 50 g, around the axis passing through the geometric center. For how much does the moment of inertia change if we drill a hole in the ruler with a diameter of 1.0 cm, 5.0 cm from the end of the ruler? (The solutions are 3750 g×cm^2 and -44 g×cm^2 )