When you drive a car around a curve that is not banked, what force provides the centripetal acceleration? HINT: Think about turn
ing a curve on ice. If the curve is banked, what additional force plays a role in providing the centripetal force? Draw force diagrams to clarify your thinking.
2 answers:
Explanation:
When you drive a car around a curve that is not banked, the frictional force between the tyres of the car and the road provides the centripetal acceleration and the centripetal force. Figure A shows the force acting on the object in unbanked road.
Figure B shows the banked curve. In this type of curve, the horizontal component of the normal force is balanced by the centripetal force as well as centripetal acceleration.
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The <em>linear</em> acceleration of collar D when <em>θ = 60°</em> is - 693.867 inches per square second.
<h3>How to determine the angular velocity of a collar</h3>In this question we have a system formed by three elements, the element AB experiments a <em>pure</em> rotation at <em>constant</em> velocity, the element BD has a <em>general plane</em> motion, which is a combination of rotation and traslation, and the ruff experiments a <em>pure</em> translation.
To determine the <em>linear</em> acceleration of the collar (), in inches per square second, we need to determine first all <em>linear</em> and <em>angular</em> velocities (
,
), in inches per second and radians per second, respectively, and later all <em>linear</em> and <em>angular</em> accelerations (
,
), the latter in radians per square second.
By definitions of <em>relative</em> velocity and <em>relative</em> acceleration we build the following two systems of <em>linear</em> equations:
<h3>Velocities</h3> (1)
(2)
(3)
(4)
If we know that ,
,
,
,
and
, then the solution of the systems of linear equations are, respectively:
(1)
(2)
,
(3)
(4)
,
The <em>linear</em> acceleration of collar D when <em>θ = 60°</em> is - 693.867 inches per square second.
The statement is incomplete and figure is missing, complete form is introduced below:
<em>Arm AB has a constant angular velocity of 16 radians per second counterclockwise. At the instant when θ = 60°, determine the acceleration of collar D.</em>
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