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$\bullet$ A diving board 3.00 $\mathrm{m}$ long is supported at a point 1.00 $\mathrm{m}$ from the end, and a diver weighing 500 $\mathrm{N}$ stands at the free end (Fig. $10.65 ) .$ The diving board is of uniform cross section and weighs 280 $\mathrm{N} .$ Find (a) the force at the support point and(b) the force at the left-hand end.

a) 1920 $\mathrm{N}$b) 1140 $\mathrm{N}$

Physics 101 Mechanics

Chapter 10

Dynamics of Rotational Motion

Newton's Laws of Motion

Rotation of Rigid Bodies

Equilibrium and Elasticity

Cornell University

University of Michigan - Ann Arbor

University of Washington

McMaster University

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.

05:17

A diving board 3.00 m long…

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diving board, 3.00 m long;…

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A $2.00-\mathrm{m}$ -long …

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A 2.00 -m-long diving boar…

02:15

In Fig. $13-55$, a uniform…

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A 60 $\mathrm{kg}$ diver s…

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A 67.0 -kg person stands o…

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Figure $12-29$ shows a div…

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A $60 \mathrm{kg}$ diver s…

03:21

A diver of weight $580 \m…

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A uniform plank of length …

Hello, Problem. 45 49 has a diving board with a diver on the end. The board is three meters long and it's supported. Yeah, huh, with a support right there, one meter from the end of the uniform diving board. So it's 280. Newton White is in the exact geometric center of the board. Mother Mary and I have a diver. The diver herself weighs 500 news. She's standing at the very end. Not a pivot point here is at left end, and there is a downward force because at this point is held in place so that the board doesn't move at this point. Oh, this is I wouldn't call us. They asked for this, The force at the lift. And so we're gonna use a couple of different parts of Newton's equilibrium laws. We know our net torque because it's not moving, is zero, and we now our forces in the UAE direction must be zero. So you get this. Our support must hold the weight of the board. The way to the diver and the weight that on the left side. So no, but stupefied a little bit. Yeah. So now let's look at the torques. We know that there will not be any torque here at the pivot point does. The lever arm with this left side force is zero. We know this provides a our support will provide a counterclockwise tour where the two weights provide o'clock. Voice 12 So talks or force times level arms. There are support times. Its level on the one is equal to way to the board, which is 1.5 You the weight of the diver and she's three meters out on the board. You can then easily solved for the force of the support to get 19 20 mittens, something back in left and then would provide us with an 11 Shorty Nick Force. Thank you.

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