Question

32) How fast do you need to swing a 200-g ball at the end of a
string in a horizontal circle of 0.5-m radius so

that the string makes a 30º angle relative to the horizontal? Draw
a force diagram showing the forces exerted

on the ball as part of your solution.

Answer #1

1. For a stationary ball of mass m = 0.200 kg hanging from a
massless string, draw arrows (click on the “Shapes” tab) showing
the forces acting on the ball (lengths can be arbitrary, but get
the relative lengths of each force roughly correct). For this case
of zero acceleration, use Newton’s 2nd law to find the
magnitude of the tension force in the string, in units of Newtons.
Since we will be considering motion in the horizontal xy plane,...

A small ball of mass 61 g is suspended from a string of length
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A small ball (mass 0.1 kg) rolls around on the inside of a
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experiences negligible rolling friction and is traveling at
constant speed v. If the inside surface of the funnel makes an
angle of 45° to the horizontal (or vertical), and you assume g = 10
m/s2, what is the speed v of the ball? (Hint: think of the role of
the normal force by...

A ball of mass m is
tied to a string and is rotating in a vertical plane. The string is
elastic (it stretches), which causes the path to be elongated
vertically rather than perfectly circular. At the top of the path,
the speed has the minimum value that still allows the ball to
complete its circular path.
Find: the length of the string when it makes an angle
θ
with respect to the horizontal.
The following quantities are known:
Mass...

Consider the following scenario. You find yourself having some
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floor is 0.65, and the coefficient of kinetic friction is 0.45
.
(a) Pulling the rope horizontally, what is the minimum force you
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1. You are swinging back and forth in arcs through the air on a
playground swing. At the moment you reach the lowest point in your
forward swing, your acceleration vector points
a. backward. (B) forward. (C) downward. (D) upward. (E) nowhere,
it is zero.
2. You hang a mass of 270 grams from the ceiling by a 65
centimeter long string and cause it to swing in a horizontal circle
at a constant speed. It makes an angle of...

A single axis accelerometer is mounted on a rotating wheel so
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θ = 0, the wheel’s rotation axis is aligned with ?⃗ and the
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(perpendicular...

You are designing a ski lift to be pulled up the side of a
mountain, dragged along on the snow by a towing line connected to a
motor. The mountain makes an angle of 30° with the horizontal and
the coefficient of kinetic friction between the ski lift and the
snow is \mu_kμ k = 0.2. The chair with people will have a mass of
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4. A designer plans to build a circular Indy 500 racetrack with
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* i need part E , F, G , H
You attach a 150 g mass on a spring hung vertically. a. If the
spring initially stretches 16 cm w...
You attach a 150 g mass on a spring hung vertically.
a. If the spring initially stretches 16 cm when you hang the
mass on it, what is the spring constant?
b. How long will one oscillation take?
The spring is now oriented horizontally and attached to a glider
on...

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