Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
error_outline
This textbook solution is under construction.
Students have asked these similar questions
The magnitudes of the three forces are F1 = 1.6kN,F2 = 1.2kN and F3= 1.0kN. Compute their resulatant in the form (a) R=Rxi + Ryj+Rzkl and (b) R=Rλ
In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?
Given that the velocity of a particle in rectilinear motion varies with the displacement xaccording to the equation =
v=bx^-3
where: b is a positive constant, find the force acting on the particle as a function of x.(Hint: F= ma= mv dv/dx.)
Knowledge Booster
Similar questions
- A block of mass m = 240 kg rests against a spring with a spring constant of k = 550 N/m on an inclined plane which makes an angle of θ degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. (a) Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, with out of the plane as positive. Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g. (b) Denoting the coefficient of static friction by μs, write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression. (c) Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m? (d) Assuming θ = 45 degrees and the…arrow_forwardA weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by y as attached where y is the displacement (in feet) from equilibrium of the weight and t is the time (in seconds). (a) Use the identity a sin Bθ + b cos Bθ = √(a2 + b2) sin(Bθ + C) where C = arctan(b/a), a > 0, to write the model in the form y = √(a2 + b2) sin(Bt + C). (b) Find the amplitude of the oscillations of the weight. (c) Find the frequency of the oscillations of the weight.arrow_forwardA block of mass m= 19.5 kg rest on an inclined plane with the coefficient of static friction of us= 0.11 between the block and the plane. The incline plane is L= 6.3 m long and it has a high of h= 3.05 m at its tallest point. (A) what angle, theta in degrees, does the plane make with respect to the horizontal? (B) what is the magnitude of the normal force, fn in Newton’s, The ax on the block? (C) what is the component of the force of gravity along the plane, f gx in Newton’s? arrow_forward
- The barricade at the end of a subway line has a large spring designed to compress 2.00 m when stopping a 2.10 105 kg train moving at 0.570 m/s. (a) What is the force constant of the spring?(b) What speed would the train be going if it only compressed the spring 0.680 m?(c) What force does the spring exert when compressed 0.680 m? (Enter the magnitude only.)arrow_forwardIf the vector components of the position of a particle moving in the xy plane as a function of time are x(t) = bt2 and y(t) = ct3, where b and c are positive constants, b has dimensions of length per time squared, and c has dimensions of length per time cubed, when is the angle between the net force on the particle and the x axis equal to 45°? (Use the following as necessary: b, c. Enter an answer greater than 0.)arrow_forwardFind the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t=0, subject to the following force functions: (a) F, = F. + ct (b) F = F, sin ct (c) F, = F, ed Where F, and c are positive constants.arrow_forward
- For t 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet=mkv2i, where k is a constant. The speed of the object after t = 0 is given by v = vi/(1 + kvit). (a) Find the position x of the object as a function of time. (b) Find the objects velocity as a function of position.arrow_forwardLet us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.arrow_forwardTwo ropes are attached to a tree, and forces of F ⃗ 1 = 2.0i ^ + 4.0j ^ N and F ⃗ 2 = 3.0i ^ + 6.0j ^ N are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.arrow_forward
- A weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by y = 1/6 sin(8t) + 1/8 cos(8t) where y is the displacement (in feet) from equilibrium of the weight and t is the time (in seconds). (a) Use the identity a sin(Bθ) + b cos(Bθ) = a2 + b2 sin(Bθ + C) where C = arctan(b/a), a > 0, to write the model in the form A) y = (b) Find the amplitude of the oscillations of the weight. (c) Find the frequency of the oscillations of the weightarrow_forwardProblem 9: A horizontal force, F1 = 95 N, and a force, F2 = 19.7 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right.Randomized VariablesF1 = 95 NF2 = 19.7 Nm = 2.1 kg Part (a) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. Part (b) Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°. SO FOR A I GOT 10.73 AND IT WAS WRONG AND FOR B I GOT 52.34 WHAT AM I DOING WRONG??????///arrow_forwardA stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F⃗ =(98.0iˆ+132.0jˆ+32.0kˆ)NF→=(98.0i^+132.0j^+32.0k^)N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning