implies that the two bodies of masses M and m, and the radius vectors r ⃗_M and r ⃗_m , respectively, would exert the following forces of mutual gravitational attraction: Figure 1.2. A two-body interaction coordinate system. Two masses M and m at the radius vectors rM and rm , respectively. Force on m: F ⃗_m = -m( r) ̈_(m )= -- GMm/r^2 r ⃗/r (1.5a) Force…
pendulum is twice bigger than the period of the lever oscillation. Piston of the pump has reverse effect on the lever and damps its oscillation. Damping of the lever motion causes damping of the pendulum, but the work of the force damping the pendulum is less than the work of the forces which damp the lever. Equilibrium position of the lever is horizontal, and the equilibrium position of the pendulum is vertical. Oscillation of the lever and the pendulum take place in the same plane, vertical in…
Evie McCormack Mr. Acland B Block Physics Lab: Speed of Sound Essential Question Asked: How does the speed of sound differ between metals and gases? Background Information: The speed of sound is gauged by distance over time (distance/time). Certain aspects that can change or affect the speed of sound would include the density of the item through which the sound is traveling. Continuing on with that concept, when sound is…
acceleration and there must be an external force causing centripetal acceleration. As shown in the diagram, the only thing in contact with the car is the road, which is between the tyres of the vehicle and the surface of the road. Therefore, we can know that the frictional force exerted between the tyres and the road directed to the centre of the arc of which the car is travelling, is the causative force for centripetal acceleration. F= Frictional force between tyres and road F=ma^c F=(mv^2)/r…
This will determine the force that can be generated within the muscle. The greater the strength required, the greater the number of motor units (and therefore the number of muscle fibres) that contract. Stimuli too weak to produce a spike do, however, set up a local electrotonus…
Degenerate Cases of Conic Sections: Conics are formed when a plane and a double cone intersect. These intersections can form a variety of conics. These include: circles, parabolas, ellipses and hyperbolas. A circle can be formed from a cone if a plane intersects with the cone at an angle perpendicular to the base of the cone. This circle is also formed by the equation: (x-h)2+ (y-k)2=r2. This equation creates a relation because the collection of points does not pass the vertical line test. To…
The goals of this project are: To define the piecewise function formulas defining the coaster To create a replicated graph of the formulas To determine the maximum height of the coaster as well as the longest drop, in comparison to other great coasters in the world To determine how long the passengers will be in the air, how fast the coaster is going when hitting the “splashy zone”, and where the “splashy zone” should be built To determine the maximum height a passenger can reach during…
The larger draft both causes an increase in water resistance, due to the stern having a larger surface area, and a decrease, due to this larger draft leading to a larger buoyant force, causing the boat to float higher. Deducing whether the decrease in resistance is greater than the increase can only be accurately done through experimentation. HYPOTHESIS The main hypothesis being investigated is that a more buoyant boat will have…
Fig. 3(a), 3(b), 3(c), 3(d), 3(e), 3(f), 3(g), 3(h) & 3(i). Knee arthroplasty step by step simulation. The proximal tibia is shown in fig. 2(a) where the menus for adjusting the simulation is shown. In knee arthroplasty, virtual saw is used to cut the bones in the knee from front to back. This method of cutting enable the virtual saw to penetrated tibia and then femur part of the knee. The tracker is an interface that is attached to the surgical instrument to track the position and attitude of…
Because of the static configuration is a stable one, in the absence of streaming, the density of the upper fluid be lighter than the density of the lower one. The basic unperturbed flows have uniform velocities and . The two fluids are dielectrics and having the uniform dielectric constants and . The two fluids are influenced by an oblique electric field at the interface between the two media, according to: (2.1) where…