A uniform rod of mass m=0.5 kg and of length =80 cm is hanged with two threads.. A small block of mass m=1 kg is placed to a plank which moves on a horizontal frictionless surface, as sh
Trang 1P 4177 A uniform rod of mass m=0.5 kg and of
length =80 cm is hanged with two threads What will
the acceleration of point A and the tension in the left
thread be right after cutting the thread on the right?
Đáp số:
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Trang 2P 4198 A small block of mass m=1 kg is placed to a plank
which moves on a horizontal frictionless surface, as shown in
the figure The mass of the plank is M=4 kg, and its length is
L=0.8 m The coefficient of friction between the plank and the
block is =0.4
a) What is the least constant force F0 with which the plank must be pulled in order to make the block slide down from it?
b) How long does it take for the bock to slide down if the pulling force is F1=3 mg?
c) Till the instant when the block fell off the plank what percent of the force F1 increased the internal energy of the system?
Trang 3P 4237 A path is made to a uniform density cube of
mass m, and of edge a, such that when the cube rolls
along the path without skiding, its centre moves along a
straight line (``square wheel'') At the ``top'' of the path
a horizontal initial velocity of v0 is given to the centre
of the cube The static frictional force is big enough, so
the cube do not slide anywhere What is the speed of the centre of mass when the cube touches the lowest point of the path? (The moment of inertia of the cube with respect to its centre of mass is 2
6
1
ma )
Đáp số:
Trang 4P 4241 A sample of ideal gas is taken through the cyclic process shown in the figure
a) What is the relation between T1, T2 and T3?
b) Express the efficiency of the heat engine which carry out this
cyclic process in terms of and
c) In case of air between what values can this efficiency vary?
a.)
b.)
c.) 0< <2/7.
Một mẫu của khí lý tưởng được thực hiện thông qua quá trình tuần hoàn được hiển thị trong hình a) mối quan hệ giữa T1, T2 và T3 là gì?
b) Express hiệu quả của động cơ nhiệt trong đó thực hiện quá trình này cyclic về và.
c) Trong trường hợp của không khí giữa những gì mà các giá tr
Trang 5P 4247 As the figure shows, a small object is dropped to a
fixed, frictionless slope of angle of elevation =30o from a
height h The time of the fall is t1 After a totally inelastic collision the object slides down the slope It covers the same
distance s=h on the slope during the time t2 Determine the ratio
of t1/t2
Trang 6P 4243 The number of turns of a solenoid
(straight coil) of length L=0,5 m is N=2000, the
area of its cross section is A=16 cm2, and it has an
iron core of relative permittivity of r=2500 At a
moment the current in the coil changes at a rate of
100 A/s What is the induced voltage in that long
straight wire of length 2 =20 cm (the wire is next
to the centre of the coil)
a) which is perpendicular to the axis of the coil, if
its two ends are equidistant from the coil, and its centre is at a distance of from the coil?
b) which has the same direction as the previous one, and one of its end is at a distance of
from the axis of the coil?