Question

A small object with mass 3.10 kg moves counterclockwise with
constant speed 5.20 m/s in a circle of radius 4.50 m centered at
the origin. It starts at the point with position vector (4.50 + 0 )
m. Then it undergoes an angular displacement of 8.50 rad.

(e) What is its acceleration? (i + j (m/s^2))

Answer #1

A small object with mass 4.10 kg moves counterclockwise with
constant speed 1.35 rad/s in a circle of radius 3.05 m centered at
the origin. It starts at the point with position vector
3.05î m. Then it undergoes an angular displacement
of 8.65 rad.
(a) What is its new position vector?
m
(b) In what quadrant is the particle located and what angle does
its position vector make with the positive x-axis?
Second at ??°
(c) What is its velocity?
m/s...

A small 0.430-kg object moves on a frictionless horizontal table
in a circular path of radius 2.40 m. The angular speed is 7.73
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passes through a small hole in the table at the center of the
circle. Someone under the table begins to pull the string downward
to make the circle smaller. If the string will tolerate a tension
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in a circular path of radius 2.26 m, see image below. The angular
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the center of the circle. Someone under the table begins to pull
the string downward to make the circle smaller. If the string will
tolerate a tension of no more than 1350 N,...

A small object with a mass of 1.62 kg is moving with a speed of
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going through its center of mass which is located exactly halfway
along the rod. The object imbeds itself in the rod at a distance
L/4...

An athlete swings a 3.10-kg ball horizontally on the end of a
rope. The ball moves in a circle of radius 0.660 m at an angular
speed of 0.520 rev/s. (a) What is the tangential speed of the ball?
m/s (b) What is its centripetal acceleration? m/s2 (c) If the
maximum tension the rope can withstand before breaking is 136 N,
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An object of mass of 2.7 kg is attached to a spring with a force
constant of k = 280 N/m.
At t = 0, the object is observed to be 2.0 cm from its equilibrium
position with a speed of
55 cm/s in the -x direction. The object undergoes simple harmonic
motion “back and
forth motion” without any loss of energy.
(a) Sketch a diagram labeling all forces on the object and
calculate the maximum
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A uniform cylindrical turntable of radius 1.70 m and mass 29.1
kg rotates counterclockwise in a horizontal plane with an initial
angular speed of 4π rad/s. The fixed turntable bearing is
frictionless. A lump of clay of mass 2.31 kg and negligible size is
dropped onto the turntable from a small distance above it and
immediately sticks to the turntable at a point 1.60 m to the east
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(a) Find the final angular speed of the clay...

An object of mass m moves along a guided horizontal path with a
speed given by v = vo + vasin(ωt) where t = time in seconds. The
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rad/sec = 1/sec) m = 5 kg Find functions for the position,
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Does someone...

A small object with mass m =
0.0900 kg moves along the +x-axis. The only force on
the object is a conservative force that has the potential-energy
function U(x)=−αx2+βx3,
where α= 9.50 J/m2 and β =
0.300 J/m3. The object is released from rest at
small x.
A) When the object is at x =
4.00 m, what is its speed?
Express your answer with the appropriate
units.
B) When the object is at x = 4.00 m, what is
the magnitude of its acceleration?
D) What is the maximum value of x reached by
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A uniform cylindrical turntable of radius 2.00 m and mass 31.2
kg rotates counterclockwise in a horizontal plane with an initial
angular speed of 4? rad/s. The fixed turntable bearing is
frictionless. A lump of clay of mass 2.42 kg and negligible size is
dropped onto the turntable from a small distance above it and
immediately sticks to the turntable at a point 1.90 m to the east
of the axis.
1. Find the final angular speed of the clay...

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