Do the values agree? Describe what specific effects might produce a systematic error in your result. Compare your calculated disk mass to that using the large scale at the front of the room.Propagate the uncertainty in your measurements to your result.Explain your calculation of the disk mass step-by-step, and give the results leading to your answer.Tangent drive may be the following: Timing belt and pulley, Chain and sprocket. The stiffness of a beam is proportional to the moment of inertia of the beam's cross-section about a horizontal axis passing through its centroid. Use these equations to determine the Inertia of a tangent drive system. You have three 24 ft long wooden 2 × 6’s and you want to nail them together them to make the stiffest possible beam. From the applied torque, disk radius, and angular acceleration, calculate the disk mass. The method is demonstrated in the following examples.Find the centroid of the region under the curve y ex over the interval 1 x 3 (Figure 15.6.6 ). It follows from the denition of the products of inertia, that the tensors of inertia are always symmetric. Calculate the mass, moments, and the center of mass of the region between the curves y x and y x2 with the density function (x, y) x in the interval 0 x 1. Thus, we have H O I O, where the components of I O are the moments and products of inertia about point O given above. From the radius of the axle pulley, calculate the torque acting upon the spinning disk. Analogously, we can dene the tensor of inertia about point O, by writing equation(4) in matrix form.From the initial height and time it takes to reach the ground, determine the acceleration, and thus the tension force in the string. Theexperimental value for the solid disk pulleys moment of inertia was then calculated, and it was found that allvalues are relatively close to the computed. Wrap the string of the hanging mass around the axle pulley of the disk on the Rotational Motion Apparatus and drape the string over the pulley clamped to the table edge.If not given, create your axes by drawing the x-axis and y-axis on the boundaries of the figure. 3) What is the moment of inertia of the object about an axis at the center of mass of the object (Note: the center of mass can be calculated to be located.
The angular acceleration of the pulley can be calculated directly from the downward acceleration of the mass, and also predicted from the rotational form of Newton’s second law. Identify the x-axis and y-axis of the complex figure.
In this experiment, the only torque acting on the pulley is the tension force at radius r from the mass as it is pulled down by gravity. In the same way, torque, defined as \vecMR^2
Angular acceleration \alpha, for example, is simply linear acceleration a divided by the radius r of circular motion. The moment of inertia of a rectangular shape about the centroidal x-axis is given by, x bh3 12. Rotational kinematic quantities have many analogies to linear ones.
0 kommentar(er)
