PROBLEM 2 (10 POINTS) A particle of mass m moving along a straight line is acted...
PROBLEM 1 (10 POINTS) A uniform rope of weight W hangs between two trees. The ends of the rope are at the same height, and they each make angle 0 with the trees. Find a) the tension at either end of the rope b) The tension in the middle of the rope. PROBLEM 2 (10 POINTS) A particle of mass m moving along a straight line is acted on by a retarding force (one always directed against the motion) F-bea",...
Trajectory Problem 1 1. A particle A , of mass m, is acted on by the gravitational force from a second particle, B, which remains fixed at the origin. Initially, when A is very far from B(r - o0). A has a velocity vo directed along the line shown in the figure. The perpendicular distance between B and this line is D. The particle A is deflected from the figure. The shortest distance between this trajectory and B is found...
A particle moving along the x axis is acted upon by a single force F = F0e–kx, where F0 and k are constants. The particle is released from rest at x = 0. It will attain a maximum kinetic energy of:
The velocity of a particle moving along a straight line is given by v = 0.2s1/2 m/s where the position s is in meters. At t = 0 the particle has a velocity v0 = 3 m/s. Determine the time when the particle’s velocity reaches 15 m/s and the corresponding acceleration. Ans: 600 s, a = 0.02 m/s2
4. A particle is moving along a straight line such that its velocity is defined as v -5s2 m/s, where s is in meters. If s 2 m when t0, determine the particle's velocity and acceleration as functions of time.
1.14) A particle of mass m is acted upon by a net force F. As a result of the force, the particle starts from rest and moves along a curved path for which the acceleration relative to an inertial Cartesian coordinate system with an origin at the location where the particle is at rest is given by a - with At, B+Ct, and constants. You may assume that the units associated with t are seconds and = D where A,...
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin πt + 2 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] ? cm/s (ii) [1, 1.1] ? cm/s (iii) [1, 1.01] ?cm/s (iv) [1, 1.001] ?cm/s (b) Estimate the instantaneous velocity of the particle when...
An object, moving along the
circumference of a circle with radius R, is acted upon by a force
of constant magnitude F. The force is directed at all times at a 30
angle with respect to the tangent to the circle as shown in the
figure .
Determine the work done by this force when
the object moves along the half circle from A to B.
Express your answer in terms of the
variables , , and appropriate constants.
Chapter 2, Problem 2/024 Multistep A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x when 10 ft. -3 tis v 4 ft/sec, determine the velocity a, ft/see? 10 --- Part 1 Calculate od a, ft/sec 10- Part 1 Calculate adx. a, ft/sec Answer: adx the tolerance is +/-29 Click if you would like to Show Work for this questions Open Show Work
A particle is moving along a straight line with an initial velocity of 6 m/s when it is subjected to a deceleration of a = (-1.5012) m/s², where vis in m/s. Determine how far it travels before it stops. How much time does this take?