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(III) A particle rotates in a circle of radius 3.80 $\mathrm{m}$ . At aparticular instant its acceleration is 1.15 $\mathrm{m} / \mathrm{s}^{2}$ in a directionthat makes an angle of $38.0^{\circ}$ to its direction of motion.Determine its speed $(a)$ at this moment and $(b) 2.00$ s later,assuming constant tangential acceleration.

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a. 1.64 $\mathrm{m} / \mathrm{s}$b. 3.45 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 5

Using Newton's Laws: Friction, Circular Motion, Drag Forces

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

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Lectures

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

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(III) A particle revolves …

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Figure $\mathrm{P} 4.38$ …

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Figure $\mathrm{P} 4.32$ r…

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Figure P4.35 represents th…

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Consider a particle \end{t…

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A rigid object rotating ab…

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(II) An object moves in a …

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A particle is moving clock…

so you're given a radius of 3.8 meters on acceleration of 1.15 meters percent squared on angle of 38 degrees. So with that information, you consult your angle that is tangential ends and triple, so your tangential acceleration will be your acceleration times host idea, which is which gives you your component. That's Jason to people on for years and trickle acceleration. That's your acceleration from science. It is opposite of your equal, so started with centripetal acceleration. 1.15 Sign there. Eight. It's me, a centripetal acceleration of zero point 708 and we know that's a triple accelerations equal to B squared over art. And this is gonna help us all for art of speed at this milk. So 0.708 times on a radius, which was 3.8 months were routed, gives us a velocity route and gives us a velocity 1.64 meters per second. And this is our tangential velocity. So if that's your tangential velocity and we want to know what my velocity or my speed is, two seconds later, well, then I could go back and sell for more tangential acceleration, which was a co signed data. So that's 1.15 times co. Sign of 38 gives me 0.906 and when we can use a cinematic equation to solve or my velocity two seconds. So again we know my initial velocity. Look at 1.64 meters per second. My tangential acceleration. 0.9. They're six and then we wanna multiply that by two. It's time we want to know and then my final velocity will be 345 meters.

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