A thin rod (m=0.3 kg, L=0.6m) is hung from a thin wire. The wire is attached to the rod so that it is balanced horizontally. The rod is then given an angular displacement of 2 revolutions and then released from rest. Given that the rod takes 1.6 seconds to move through 1/4 cycle, determine the torsional constant for this oscillator. Assume no energy loss due to friction.
A. 0.042 Nm
B. 0.011 Nm
C. 0.019 Nm
D. 0.009 Nm
E. 0.061 Nm
A thin rod (m=0.3 kg, L=0.6m) is hung from a thin wire. The wire is attached...
A uniform thin rod of length 0.500 m and mass 4.00 kg is attached to a pivot at one end. The other end of the rod is attached to a uniform sphere with a mass of 2.00 kg and a radius of 0.100 m. The rod and sphere initially hang vertically. A bullet with a mass of 5.00 g is fired horizontally at a speed of 200 m/s into the center of the sphere. The bullet embeds itself in the...
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented horizontally. A motor is attached at point A, which I a distance d=0.4m from the middle of the rod. The motor rotates the rod with a horizontal rotation with point A as the axis of rotation. The angular velocity of the rod follows the function: w(t) =3t + 4cos(0.5t) -4 Calculate the maximum torque that the motor applies to the rod during the time interval...
The hammer throw is an Olympic event where a 7.5 kg metal ball is attached to a 1.2 m long wire, as shown in the diagram. One such competitor was observed to swing the hammer around in a horizontal circle with an average angular acceleration a = 5.6 rad/s?. After 3 seconds the hammer was released. (a) Calculate the angular velocity and tangential speed of the metal ball just before it is released. (b) Calculate the number of revolutions the...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
A hollow, thin shelled sphere of radius rK=0.08 m and mass
mK=1.8 kg is attached at one end to a rod of mass mS=mK and the
length L=5?rK. The sphere-rod system can pivot without friction
about a horizontal axis at (A),from its equilibrium angular
position, and then released.
A. After what time does the sphere reach the highest point on
the right for the first time?
t= 0.653 s
B. Determine the speed of the sphere when it pivots through...
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot attached to one end. A piece of clay of mass m moving horizontally at a speed v hits the rod a distance x from the pivot and sticks to it. Discussion Questions: (In the first 5-10 min a random group will be selected to explain.) • What “type” of collision is happening? What is and is not conserved? • Consider the analogous linear momentum...
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...