Homework Answers
here,
m = 30 kg
the tesnion in the cable N , Tn = m * g
Tn = 30 * 9.81 N = 294.3 N
and
equating the forces vertically
Tm * sin(70) = Tn
Tm * sin(70) = 294.3 N
Tm = 313.2 N
equating the forces horizontally
Tl = Tm * cos(70)
Tl = 313.2 * cos(70) N = 107.1 N
Use the given figure to find the measures of the numbered angles, given that lines m...
Use the given figure to find the measures of the numbered angles, given that lines m and n are parallel. m 56° 6 n 7 6198 9 10 11\12 The measure of angle 7 is The measure of angle 9 is The measure of angle 5 is 19 The measure of angle 1 is 19 The measure of angle 6 isº The measure of angle 10 isº The measure of angle 11 is The measure of angle 12 is The...
A loudspeaker of mass 23.0 kg is suspended a distance of h = 2.40 m below...
A loudspeaker of mass 23.0 kg is suspended a distance of h = 2.40 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.50 m . (Figure 1) (Note: for an object of mass m, the weight is given by FG = mg, where g = 9.80 N/kg, which is equal to 9.80 m/s 2 What is the tension T in each of the cables? Use 9.80...
4. + 0/1 points SerCP11 8.3.P.027. A uniform plank of length 2.00 m and mass 33.5...
4. + 0/1 points SerCP11 8.3.P.027. A uniform plank of length 2.00 m and mass 33.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of 7, 274.1 *N magnitude of T2 528.7 XN magnitude of 73 210 * N X T, d-l2.00 m Submit Answer
Problem 2. The ball with mass m is attached to two elastic cords each of length...
Problem 2. The ball with mass m is attached to two elastic cords each of length L. The ball is constrained to move on a horizontal, frictionless plain. The cords are stretched to a tension T When t 0, your intrepid instructor gives the ball a very small horizontal displacement x (a) Derive the equation of motion and find expressions for the natural circular frequency, the frequency, and the period of vibration. (b) For m - 2 kg, L 3...
Helpful Formulas: * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful...
Helpful Formulas:
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz =
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0
Useful Formulas/Pacts for PDEs/Fourier Series...
QUESTION 1: A 36.0-kg child swings in a swing supported by two chains, each 2.90 m...
QUESTION 1: A 36.0-kg child swings in a swing supported by two chains, each 2.90 m long. The tension in each chain at the lowest point is 424 N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward)A 36.0-kg child swings in a swing supported by two chains, each 2.90 m long. The tension in each...
2. Can it be said that, when two vectors are at right angles to each other,...
2. Can it be said that, when two vectors are at right angles to each other, the resultant Force is greater than either of the vectors separately? Horizontal forces of 3 N and 4 N act at right angles on a block of mass 5 kg. Show that the resulting acceleration is 1 m/s2 3. 4. An airplane with an airspeed of 120 km/h encounters a 90 km/h crosswind. Show that the plane's groundspeed is 150 km/h.
2. A block of mass 3.0 kg rests on an inclined planw that makes an angle...
2.
A block of mass 3.0 kg rests on an inclined planw that makes an
angle with the horizontal of 25...(pic)
4. A man weighs an apple with a string scale attached to the
ceiling of an elevator...(pic)
9. A diver weighing 600 N drops from a board h meters above
the surface of the water...(pic)
10. A block with a mass of 5.0 kg is attached to a horizontal
spring with a spring constant 300 N/m...(pic)
2. A block...
Q3. For the system in Figure 3 where 0 and angles, and are the rotary inertias of the two disks with are the rotati...
Q3. For the system in Figure 3 where 0 and angles, and are the rotary inertias of the two disks with are the rotational radius r and 2r, respectively, 2r (1) Find its total kinetic energy, total potential energy and Lagrangian in terms of 0, and 0 (2) Derive the equations of motion using Lagrangian equation method (3) Put the equations of motion in matrix form, and (4) Calculate the natural frequencies and the associated mode Fosin shapes if m...
7) Given the mass of the sun (m,-1.99 x 1030 kg ) and the mass of...
7) Given the mass of the sun (m,-1.99 x 1030 kg ) and the mass of the earth (me-5.98 x 1024 kg) and the distance between them (150 billion meters), find the amount of charge required on both the sun and earth to exactly balance the attractive gravitational force.
Use the given figure to find the measures of the numbered angles, given that lines m and n are parallel. m 56° 6 n 7 6198 9 10 11\12 The measure of angle 7 is The measure of angle 9 is The measure of angle 5 is 19 The measure of angle 1 is 19 The measure of angle 6 isº The measure of angle 10 isº The measure of angle 11 is The measure of angle 12 is The...
4. + 0/1 points SerCP11 8.3.P.027. A uniform plank of length 2.00 m and mass 33.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of 7, 274.1 *N magnitude of T2 528.7 XN magnitude of 73 210 * N X T, d-l2.00 m Submit Answer
Problem 2. The ball with mass m is attached to two elastic cords each of length L. The ball is constrained to move on a horizontal, frictionless plain. The cords are stretched to a tension T When t 0, your intrepid instructor gives the ball a very small horizontal displacement x (a) Derive the equation of motion and find expressions for the natural circular frequency, the frequency, and the period of vibration. (b) For m - 2 kg, L 3...
Helpful Formulas:
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz =
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0
Useful Formulas/Pacts for PDEs/Fourier Series...
2. Can it be said that, when two vectors are at right angles to each other, the resultant Force is greater than either of the vectors separately? Horizontal forces of 3 N and 4 N act at right angles on a block of mass 5 kg. Show that the resulting acceleration is 1 m/s2 3. 4. An airplane with an airspeed of 120 km/h encounters a 90 km/h crosswind. Show that the plane's groundspeed is 150 km/h.
2.
A block of mass 3.0 kg rests on an inclined planw that makes an
angle with the horizontal of 25...(pic)
4. A man weighs an apple with a string scale attached to the
ceiling of an elevator...(pic)
9. A diver weighing 600 N drops from a board h meters above
the surface of the water...(pic)
10. A block with a mass of 5.0 kg is attached to a horizontal
spring with a spring constant 300 N/m...(pic)
2. A block...
Q3. For the system in Figure 3 where 0 and angles, and are the rotary inertias of the two disks with are the rotational radius r and 2r, respectively, 2r (1) Find its total kinetic energy, total potential energy and Lagrangian in terms of 0, and 0 (2) Derive the equations of motion using Lagrangian equation method (3) Put the equations of motion in matrix form, and (4) Calculate the natural frequencies and the associated mode Fosin shapes if m...
7) Given the mass of the sun (m,-1.99 x 1030 kg ) and the mass of the earth (me-5.98 x 1024 kg) and the distance between them (150 billion meters), find the amount of charge required on both the sun and earth to exactly balance the attractive gravitational force.
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