

1. The position of a crate sliding down a ramp is given by x = 0.25t'm,...
1. (P) The figure below shows an 18.0kg crate of salami sliding down a ramp on a (massless) rope that is wrapped around a disk of radius 0.25m and mass 6.0kg. The coefficient of kinetic friction between the crate and ramp is μ k-0.24. What is the magnitude of the disk's angular acceleration? 30° A 3.1 rad/s2 B 6.7 rad/s2 C 9.8 rad/s2 D 11.4 rad/s2 E 13.7 rad/s2
1. (P) The figure below shows an 18.0kg crate of salami sliding down a ramp on a (massless) rope that is wrapped around a disk of radius 0.25m and mass 6.0kg. The coefficient of kinetic friction between the crate and ramp is μ k-0.24. What is the magnitude of the disk's angular acceleration? 30° A 3.1 rad/s2 B 6.7 rad/s2 C 9.8 rad/s2 D 11.4 rad/s2 E 13.7 rad/s2
A particle's position ?⃗ as a function of time ? is given by ?⃗ (?)=??^3?̂ +(??−??4)?̂ . where a=5.00 m/s^3, b=3.00 m/s, and c=6.00 m/s^4. At t=2.45 s find: (e)The x-component of velocity. (f)The y-component of velocity. (g)The magnitude of the velocity vector. (h)The direction of the velocity vector. Your answer for this part should be in the range of -180 to 180 degrees. (i)The x-component of the acceleration. (j)The y-component of the acceleration. (k)The magnitude of the acceleration vector....
Find magnitude of velocity and acceleration at
t=1
Part A Learning Goal To be able to calculate position, velocity, and acceleration of an object in curvilinear motion using a rectangular coordinate system. A car drives on a curved road that goes down a hill. The car's position is defined by the position vector An object's motion can be described along a path represented by a fixed x, y, z coordinate system. In such a system, the position vector, r, is...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
A stop block, s, prevents a crate from sliding down a 0 36.0° incline. (Figure 1) A tensile force F= (Fot) N acts on the crate parallel to the incline, where F 325 N/s If the coefficients of static and kinetic friction between the crate and the incline are 0.300 and 0.225 respectively, and the crate has a mass of 56.4 kg, how long will it take until the crate reaches a velocity of 2.07 m/s as it moves up...
The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2 1-Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3t and the y component is 4t, then you should enter 3t,4t. Express your answer using two significant figures for all coefficients 2-Calculate the acceleration vector of the...
17. A S2 N box is sliding down a ramp inclined at an angle of 30 with the horizontal at constant v diagram below velocity, as shown in the a. O n the diagram, draw the three force vectors acting on the box, including the weight, normal force, and friction force. Label each vector with its symbol, indicating force type b. Calculate the component of the weight acting parallel to the ramp. (2) Calculate the component of the weight acting...
An airplane circles an airport. It flies in a circle with r= 1800 m at a constant speed of 60 m/s in a counterclockwise direction. Place airport at the origin of a circle, i hat pointing east, j hat as pointing north. Only consider the lateral motion. When the airplane is northeast of the airport (45 degrees angle from i hat vector), then, a. What are the x and the y components of the airplane's position vector at this moment?...
20. A squirrel'sx-and y-components of its displacement as functions of time are given byx)0.45t 6.5t+25 and y() 0.35r+8.3t+34. (Both x and y are in meters and t is in seconds.) Calculate the its position (magnitude and direction), velocity, and the acceleration vector at 10.0 s.