Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass, m . Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle ε , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan ( λ + ε ) = g g − ω 2 R E tan λ , where ω is the angular velocity of Earth.
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass, m . Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle ε , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan ( λ + ε ) = g g − ω 2 R E tan λ , where ω is the angular velocity of Earth.
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass,m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle
ε
, defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere.
tan
(
λ
+
ε
)
=
g
g
−
ω
2
R
E
tan
λ
, where
ω
is the angular velocity of Earth.
Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path
Using Figure 13.9, carefully sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass, m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal acceleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle ε , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan(λ + ε) = (g / (g − ω2 RE)) . tanλ , where ω is the angular velocity of Earth.
1.1 A thin uniform disk of radius a, mass m and A mass per unit length. Find the gravitational force that the
ring exerts on a particle of mass M at distance d from the center of the ring, see figure below.
of
Note! Disk is in the ZX-plane and D is along the Y-axis
1.2 Given that A = Skgm", a = 50 cm and d 1.1 m. Determine the gravitational force that the disk exerts on a
particle of mass M = 750 g.
A force F of 36N acts on a box in the direction of the vector OP, where P (-5,7,–3) and O(0,0,0). Express the force as a vector.
F =
help (vectors)
Find the angle between force F and the xy-plane. Answer in radians.
help (angles)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.