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arm (‘) e ect a change in rotational motion (i.e., rotational angular acceleration, ˝ = force moment arm (de nition of torque) where the moment arm is the distance of closest approach to the line of action of
Rotational kinematics is the study of how rotating objects move. Let’s start by looking at various points on a rotating disk, such as a compact disc in a CD player. EXPLORATION 10.1 - A rotating disk. Step 1 – Mark a few points on a rotating disk and look at their instantaneous velocities as the disk rotates.
Calculate the torque (magnitude and direction) about point O due to the force ~F in each of the situations sketched in Fig. E10.1. In each case, the force ~F and the rod both lie in the plane of the page, the rod has length 4.00 m, and the force has magnitude F = 10:0 N.
Rotational Motion. We are going to consider the motion of a rigid body about a fixed axis of rotation. The angle of rotation is measured in radians: (rads) . s. (dimensionless) r. s . Notice that for a given angle , the ratio s/r is independent of the size of the circle.
Torque = (Magnitude of Force) × (Moment Arm) 𝜏=𝐹 Units: N∙m The Magnitude and the Direction of a Torque Using the examples in the figure on the right:
17.1 Introduction. A body is called a rigid body if the distance between any two points in the body does not change in time. Rigid bodies, unlike point masses, can have forces applied at different points in the body. For most objects, treating as a rigid body is an idealization, but a very good one.
Figure 10.7.1: Torque is the turning or twisting effectiveness of a force, illustrated here for door rotation on its hinges (as viewed from overhead). Torque has both magnitude and direction. (a) A counterclockwise torque is produced by a force →F acting at a distance r from the hinges (the pivot point).