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(ts r= 170 mn 3시 Sewi cirenlar plafe of radius r is subjscted to the sysfem...
7Okn4. Tidal Forces: A comet of mass m and radius R approaches the Sun with a...
7Okn4. Tidal Forces: A comet of mass m and radius R approaches the Sun with a trajectory described by C ( L/Gm2 Mn)-4 x 10° km, and eccentricity e-0.967. Will the comet break apart by tidal forces, or retun another day? (m -2 x 10 kg, R 10 km, MN-2 x 10" kg) Points (20) m! eliptcal trajectory 34 Roche Limit 5). Binary Star System: Consider a planetary system as pictured (not to scale), with the stars in a circular...
2) Each of the pulleys below has an inner radius of R/2 and an outer radius...
2) Each of the pulleys below has an inner radius of R/2 and an outer radius of R that each can have a string wrapped around it. They turn as one unit. A 3-D side view is seen here. For each situation, draw an Extended Force Diagram (show all the forces and where they act) for the pulley as the system. Write a Rotational 2nd Law equation for each. The inertia of each pulley is I. For the last one,...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a ho...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...
CEE2001(A) In-Class Ex #1 Problem Definition: A cylinder of radius r = 0.5 m is subjected...
CEE2001(A) In-Class Ex #1 Problem Definition: A cylinder of radius r = 0.5 m is subjected to two normal forces N1 = 200 N and N2 = 347 N as shown in the figure below. The inclination angle 0 is 0 = 20°. • Express forces Nį and N2 in vector forms in the xy coordinate system. • Find the resultant R of forces N and N2 and the angle it makes with the x-axis. • Find the components of...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
1.2.72. 7. Two identical charges of mass, m = 1 x 10kg bowl of radius, R=0.2m....
1.2.72.
7. Two identical charges of mass, m = 1 x 10kg bowl of radius, R=0.2m. Three forces act on the particles: normal force, weight and electrostatic force. The normal force acting on the charges is at 60° to the horizontal. Find the charge on each particle are at rest on the surface of a hemispherical 60
1 Consider a cylinder of mass M and radius a rolling down a half-cylinder of radius R as shown in...
question (c), (d), (e), (f) please. Thanks.
1 Consider a cylinder of mass M and radius a rolling down a half-cylinder of radius R as shown in the diagram (a) Construct two equations for the constraints: i rolling without slipping (using the two angles and θ), and ii) staying in contact (using a, R and the distance between the axes of the cylinders r). (b) Construct the Lagrangian of the system in terms of θ1, θ2 and r and two...
A small solid glass sphere, with a mass m and radius r, is placed on the...
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
You want to design a circular racetrack of radius r such that cars of mass m...
You want to design a circular racetrack of radius r such that cars of mass m can go around the track at speed u without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 9 of the track, measured from the horizontal. Suppose the racecars actually round the track at a speed W> u. What additional radial force is required to keep the cars...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of i...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of inertia J rolls without slipping down the incline shown. The spring affixed to its axle has rest length h, and is neither extended nor compressed when r 0. The external force F is directed parallel to the direction of rolling. Find the total kinetic energy and potential energy in the system. Assume the gravitational potential energy to be zero when the...
7Okn4. Tidal Forces: A comet of mass m and radius R approaches the Sun with a trajectory described by C ( L/Gm2 Mn)-4 x 10° km, and eccentricity e-0.967. Will the comet break apart by tidal forces, or retun another day? (m -2 x 10 kg, R 10 km, MN-2 x 10" kg) Points (20) m! eliptcal trajectory 34 Roche Limit 5). Binary Star System: Consider a planetary system as pictured (not to scale), with the stars in a circular...
2) Each of the pulleys below has an inner radius of R/2 and an outer radius of R that each can have a string wrapped around it. They turn as one unit. A 3-D side view is seen here. For each situation, draw an Extended Force Diagram (show all the forces and where they act) for the pulley as the system. Write a Rotational 2nd Law equation for each. The inertia of each pulley is I. For the last one,...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...
CEE2001(A) In-Class Ex #1 Problem Definition: A cylinder of radius r = 0.5 m is subjected to two normal forces N1 = 200 N and N2 = 347 N as shown in the figure below. The inclination angle 0 is 0 = 20°. • Express forces Nį and N2 in vector forms in the xy coordinate system. • Find the resultant R of forces N and N2 and the angle it makes with the x-axis. • Find the components of...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
1.2.72.
7. Two identical charges of mass, m = 1 x 10kg bowl of radius, R=0.2m. Three forces act on the particles: normal force, weight and electrostatic force. The normal force acting on the charges is at 60° to the horizontal. Find the charge on each particle are at rest on the surface of a hemispherical 60
question (c), (d), (e), (f) please. Thanks.
1 Consider a cylinder of mass M and radius a rolling down a half-cylinder of radius R as shown in the diagram (a) Construct two equations for the constraints: i rolling without slipping (using the two angles and θ), and ii) staying in contact (using a, R and the distance between the axes of the cylinders r). (b) Construct the Lagrangian of the system in terms of θ1, θ2 and r and two...
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
You want to design a circular racetrack of radius r such that cars of mass m can go around the track at speed u without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 9 of the track, measured from the horizontal. Suppose the racecars actually round the track at a speed W> u. What additional radial force is required to keep the cars...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of inertia J rolls without slipping down the incline shown. The spring affixed to its axle has rest length h, and is neither extended nor compressed when r 0. The external force F is directed parallel to the direction of rolling. Find the total kinetic energy and potential energy in the system. Assume the gravitational potential energy to be zero when the...
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