Acart of mass m = 2.40 kg can roll without friction on a level track. a light string draped over a light, frictionless pulley connects the cart to a hanger with mass m = 0.50 kg. the cart is released from rest, allowing it to roll, pulled by the falling hanger.
what is the formula for the acceleration a of the hanger in terms of the tension t, the hanger's mass m, and the acceleration of gravity g? the key for the formula entries assumes the following: t and g are positive numbers, and in the coordinate system up and right are positive, while down and left are negative. hint: get a piece of paper and draw careful free body diagrams of the cart and the hanger. make sure that the vector for the tension force in each diagram has the same length.
formula for ahanger =
click here for with symbolic formatting.
what is the formula for the acceleration a of the cart in terms of the tension t, and its mass m?
formula for acart =
use the two equations you found above to eliminate t to give the acceleration of the cart in terms of m, m and g. (be careful about the sign of each acceleration! )
revised formula for acart =
calculate the the numerical value for the acceleration (assume g = 9.81 m/s2).
value of acart =
Answers: 3
Physics, 21.06.2019 19:10, shazanah95
Athin, square metal plate measures 14 cm on each side and has emissivity of 0.60. the plate is heated to a temperature of 745°c. what is the rate at which the plate radiates energy ? the stefan-boltzmann constant is 5.67 × 10-8 w/(m2 ? k4). remember that the plate will radiate energy from both its top and bottom surfaces.
Answers: 1
Physics, 22.06.2019 00:20, pooperjooper
Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.
Answers: 2
Physics, 22.06.2019 03:40, darkdragon67
Science and technology are interdependent. advances in one lead to advances in the other. give an example of this phenomenon.
Answers: 1
Acart of mass m = 2.40 kg can roll without friction on a level track. a light string draped over a l...
English, 23.11.2021 22:40
Chemistry, 23.11.2021 22:40
Chemistry, 23.11.2021 22:40
Biology, 23.11.2021 22:40
Biology, 23.11.2021 22:40
Chemistry, 23.11.2021 22:40