A particle of mass M = 3kg is at rest at the origin on a
horizontal frictionless plane until t = 0s. At that time, two
forces, → F1 = (20, −20) N and → F2 = (16, 5) N, are applied to the
particle. Determine the (a) velocity and (b) position of the
particle at t = 4s.
A particle of mass M = 3kg is at rest at the origin on a horizontal...
(14.2) A block of mass m = 10 kg riding on a frictionless horizontal plane is subjected to five forces. The weight of the block and the normal force of contact with the plane both act in the vertical direction, cancel, and may be henceforth ignored. Three applied forces, →F1 , →F2 , →F3 , act horizontally on the block. The information that we have been able to gather about the applied forces is summarised as follows: F1 = 10...
Two forces, f1 (-6i-4j)N and f2 (-3 + 7)N, act on a particle of mass 2.00 kg that is initially at rest at origin (0.00 m, 0.00 m).(a) What are the components of the particle’s velocity at t = 10.0 s?(b) In what direction is the particle moving at t = 10.0 s?(c) What displacement does the particle undergo during the first 10.0 s?
Two forces F1 = (-6i - 4j) N and F2 = (-3i + 7j) N act on a particle of mass 2.00 kg that is initially at rest at coordinates (-2.00 m, 4.00 m). What are the coordinates of the particle at time t = 10 s?
A particle of mass m, initially at rest, moves on a horizontal line subject to a force F(t)=ae-bt. Show that the position and velocity of the particle as a function of time are: x = a/mb[t-1/b(1-e-bt)] and v = a/mb(1-e-bt).
5, (3 points) A mass m 300 g lies on a frictionless horizontal surface and is attached to a horizontal spring with a spring constant k = 3 N/m. A coordinate system is given such that the z axis is parallel to the motion of the mass under the action of the spring, and the origin is located at the un-stretched position of the spring. The position of the mass is given by: x(t) = A cos(wt + φ) At...
1. Newton’s Laws and damped simple harmonic motion A particle of mass m = 5 moves in a straight line on a horizontal surface. It is subject to the following forces: an attractive force in the direction of the fixed origin O with magnitude 40 times the instantaneous distance from O a damping force due to friction which is 20 times the instantaneous speed the force due to gravity the normal force. The particle starts from rest at a distance...
The diagram below shows a block of mass m=2.00kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.00N, F2=6.00N, and F3=8.00N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are...
(13.1) An elevator riding in a frictionless vertical shaft has total mass of 1000 kg. (a) The elevator cable exerts a force of 9000 N in the upward direction on the elevator. Determine (i) the acceleration of the elevator, and (ii) how long it takes for the elevator, starting from rest, to attain a speed of 5 m/s. (b) The cable exerts a force of 12000 N [up] on the elevator. Determine (i) the acceleration of the elevator, and (ii)...
A mass of 7 kg is resting on a horizontal, frictionless surface. Force 1 is applied to it at 23 degrees below the horizontal, force 2 has a magnitude of 19 N and is applied vertically downward, force 3 has a magnitude of 3 N and is applied vertically upwards, and force 4 has a magnitude of 21 N and is applied in the-x direction to the object. When these forces are applied to the object, the object moves 9...
A block of mass m = 4.0kg is at rest on a horizontal frictionless floor. At time t = 0 a horizontal force F = F xt is applied to the block. At an instant of t later the block is at x = 2.0t4 (x is in meters) from the block's initial position, x = 0. 1. Find F x, the x-component of the force F as function of time. (3 pts) Fx (t) = 2. Find the instantaneous...