Moment of inertia of a circular wire of mass M and radius R about its diameter is _____________ a) 1/2 MR2 b) 1/4 MR2 c) 2MR2 d) MR2
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Moment of inertia of a circular wire of mass M and radius R about its diameter is _____________
a) 1/2 MR2
b) 1/4 MR2
c) 2MR2
d) MR2
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- During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation? Steps: 1) Find the tangential acceleration of the hammer: m/s2 2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.) 3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2. 4) Find the total acceleration after 3/4 of the final rotation: m/s2. b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground. Steps: 1) Find the time-of-flight: s 2) Find the horizontal velocity: m/s 3) Find the horizontal distance: m.a) a b) b c) c 2. Two different disks (one is larger than the other but the same mass) are placed flat on ice. If the same force F is applied to each disk as shown. Mark the statement(s) that are correct. (a) (b) (c) (d) (e) (f) disk 1 Ⓒ disk 2 disk 1 will have more linear acceleration disk 2 will have more linear acceleration disk 1 will have more angular acceleration disk 2 will have more angular acceleration they both have the same linear acceleration they both have the same angular acceleration 1ultiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a c dius = 0.157 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.72 nd the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Units No units - Number .368
- Problem 2 The Pulley in the figure. is made up of two coarial wheels that are glued together so that they form a single objects. The radi their masses. of the wheels are Ri = 0,30m and R₂ = 0, bom; are M₁ - Boung and M₂ = 10.0ng. An in extensible string is wrapped around the cylinder 2.40 kg attached to the of the two wheels actes a un of radius R₁ and mass m2 = Spring. On the axus uniform fructional torque to. At the beginning the system is at rest. At time t = Os the mass m starts to go down and after a length h=1.5m the mass comes down to the ground with speed of 1,38 mls. a) the tension the string and the fructional torque to b) When the mass comes to ground, the string disengages turns done from the cylinder. Find the number the wheels before it stops. of by B₂ R₂ I'm ↑ h =1,5m Please answer the above question step-wise, showing detailed explanations ( in handwritten if possible) Thanks in advanceWhat is the rotational form of Newton's 2nd law? Select all equivalent relations. Ο Στ= Ια T = Ia Ο Στ= Ιω Tnet Iw Tnet IaThe block on the right has a mass of M = 4.2 kg, see the figure below. It takes 2.9 s to reach the floor after beingreleased from rest. What then is the mass of the block on the left (m)? Assume the string is massless, but the pulley has amass of 3.9 kg and a radius of 14 cm.
- At takeoff, a commercial jet has a speed of 62 m/s. Its tires have a diameter of 0.86 m. a) At how many rev/min are the tires rotating? b) What is the centripetal acceleration at the edge of the tire in m/s^2? c) With what force must be determined 0.75x10^-15 kg bacterium cling to the rim in N? d)Take the ration of this force to the bacterium's weight.The moment of inertia of a planar square about a planar axis parallel to one side is 10kgm2. What is the moment of inertia about a diagonal? a) 10kgm2 b) 5kgm2 c) 20kgm2 d) 1kgm2Question 13 A 1200 kg car is driving on a flat circular track with a radius of 89.81 m. The coefficient of static friction is 0.50. What is the max speed the car can drive without slipping? (1316) A) O29.67 m/s B) O0.37 m/s C) O25173.39 m/s D) O20.98 m/s E) O726.69 m/s Review Later