Geometrical Optics: Adapted to the Use of the Higher Classes in Schools, Etc |
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Page 143
... we know the accelerations along the two axes , a , and ay , the resultant acceleration a = √ až + az , and its direction is given by the equation tan 0 ay ах α 86. Tangential and Normal Accelerations . Suppose a body CURVILINEAR MOTION ...
... we know the accelerations along the two axes , a , and ay , the resultant acceleration a = √ až + az , and its direction is given by the equation tan 0 ay ах α 86. Tangential and Normal Accelerations . Suppose a body CURVILINEAR MOTION ...
Page 145
... tangential force may now be found by multiplying by the mass M , giving , Normal force Ma , cos α- May cos a- Ma , sin a ; Tangential force = Ma , cos a + Ma , sin a . It is usually , however , more convenient to have the normal and ...
... tangential force may now be found by multiplying by the mass M , giving , Normal force Ma , cos α- May cos a- Ma , sin a ; Tangential force = Ma , cos a + Ma , sin a . It is usually , however , more convenient to have the normal and ...
Page 146
... Tangential force = M For all curves except the circle p the radius of curva- ture varies from point to point . In ... tangential velocity is constant , thus Mv2 α FIG . 107 T making the tangential accelera- tion zero . An illustration of ...
... Tangential force = M For all curves except the circle p the radius of curva- ture varies from point to point . In ... tangential velocity is constant , thus Mv2 α FIG . 107 T making the tangential accelera- tion zero . An illustration of ...
Page 149
... tangential component . G FIG . 111 -- The force G has a tangential component & sin a . equation of motion is , therefore , The vdv = ads g sin ads , arc ( oc ) S where s denotes distance along the where α = curve . This equation , as it ...
... tangential component . G FIG . 111 -- The force G has a tangential component & sin a . equation of motion is , therefore , The vdv = ads g sin ads , arc ( oc ) S where s denotes distance along the where α = curve . This equation , as it ...
Page 166
... tangential and normal components dv v2 at = and an = dt just as was done in the case of motion in a plane curve . In this case the normal is the principal normal and the radius p is the radius of absolute curvature . As an illustration ...
... tangential and normal components dv v2 at = and an = dt just as was done in the case of motion in a plane curve . In this case the normal is the principal normal and the radius p is the radius of absolute curvature . As an illustration ...
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a₁ acceleration angle angular velocity arrow axes axis of rotation axle center of gravity cloth coefficient of friction compression concurrent forces consider constant cord cos² couple Crown 8vo curve cylinder diameter direction disk distance dt dt Edition equal fcap Find the center fly wheel forces acting formula gravity axis hammer horizontal inch inertia with respect kinetic energy length lens line of action M₁ M₂ mass mirror moment of inertia motion moving P₁ P₂ pencil pendulum perpendicular plane point of application preceding problem prism pulley R₁ radians per second radius rays refraction represented resistance revolutions revolutions per minute rigid body seen shaft shown in Fig Simpson's Rule speed square Suppose surface T₁ tangential tension tion v₁ vertical weight work-energy equation x-axis zero