Topic
Q:
A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
Q:
83 Una pallina viene lanciata verticalmente verso l'alto con una
fionda che le imprime una velocità pari a \( 15,0 \mathrm{~m} / \mathrm{s} \). Trova la
velocità che ha la pallina quando raggiunge l'altezza di \( 10,0 \mathrm{~m} \).
Q:
A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure 600 . A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
Q:
A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{2} \)
Q:
Selanci verso l'alto un mazzo di chiavi con una velocità di \( 10.0 \mathrm{~m} / \).
quale altezza massima raggiunge?
Q:
A body of weight 400 Newton was plated on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitude of the force.
Q:
(13) A body of weight 400 Newton was pla ed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitude of the force.
(14) A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
(15) A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta^{\circ} \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
Q:
(11) A body of weight 60 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle whose sine \( =\frac{3}{5} \). It was observed that the body is
about to move under the action of its weight only. Find the coefficient of
static friction between the body and the plane.
(12) A body was placed on a rough inclined plane inclined to the horizontal at an
angle of measure \( 60^{\circ} \). The coefficient of static friction between the body and
the plane was \( \frac{\sqrt{3}}{2} \). Explain and state the reason why the body cannot remain
in equilibrium on the plane.
(13) A body of weight 400 Newton was pla ed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitudc of the force.
(14) A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
(15) A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
Q:
La Purte Sub rayadu
EJERCICIO 1 ( 20 puntos): Un lote de material de construcción, se
encuentre ubicado a 30 m del centro de una grúa giratoria, la cual
gira con una rapidez angular constante de 0.8 rad/s, realizando 3
revoluciones. Luego, la grúa disminuye su rapidez angulara \( 0.2 \mathrm{rad} / \mathrm{s} \),
recorriendo 10 metros con aceleración angular constante.
Manteniendo esa aceleración, la grúa tiempo después se
detiene. Determine:
A) (7 puntos) La distancia total recorrida desde que la grúa comienza
a moverse hasta que se detiene.
B) (6 puntos) El tiempo total que duró el movimiento.
C) (3 puntos) Calcule el módulo de la aceleración total dellote cuando
la grúa gira con rapidez constante.
D) ( 4 puntos) Calcule el módulo de la aceleración total del lote
cuando la grúa desacelera, en el instante cuando \( \omega=0.2 \frac{\mathrm{rad}}{\mathrm{s}} \).
Q:
Un resorte sin masa cuya constante es de
50 niuton por metro y se cuel san
vertical mente can ua masa de 400 gramos
en su extremo libre si se estira 20 certim
etros y lueso se suelta el resorte resibe
mas calcula la frecuercia de oscilacion
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