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Three particles of masses 3.724kg, 3.236 kg, and 19.86 kg form an equilateral triangle of edge length 289 cm. If the 3.724kg mass is at the origin, and the 3.236kg mass is along the x- axis, and the 19.86kg mass is in the positive x, and positive y quadrant, the centre of mass of the whole system will be at
show that the time required for a projectile to reach its highest point is equal to the time for it to return to its original height if air resistance is neligible
them at a price of $6.00 per case. At the end of the first week, they have
only sold 160 cases. What economic situation is the grocery store facing
and what will have to happen to price in order for equilibrium to be
attained?
a. surplus; price will rise.
b. surplus; price will fall.
c. shortage; price will rise.
d. shortage; price will fall.
e. nothing since the market is in equilibrium.
a sound wave has a wavelength of 0.20m. what is the phase difference between two points on wire which are 0.65m apart
height of waterfall is 500m high. of the water retains 65% of the heat generated at the end of the fall , calculate the change in temperature due to the fall
A ring of mass 4 kg is threaded on a fixed rough vertical rod. A light string is attached to the ring,
and is pulled with a force of magnitude T N acting at an angle of 60◦ to the downward vertical (see
diagram). The ring is in equilibrium.
(i) The normal and frictional components of the contact force exerted on the ring by the rod are R N
and F N respectively. Find R and F in terms of T.
the blocks on the horizontal table
are in contact with one another. The first block is connected to a massless
string that passes over a massless and frictionless pulley and then is fastened to
a hanging object of mass M.
a) Assuming the surface of the table as frictionless
i) determine the acceleration of the system.
ii) find the tension in the string.
iii) find the interaction forces between M1 & M2.
b) Assuming the surface of the table to posses friction of uniform kinetic and
static coefficients µk and µs respectively,
i) if the system accelerates, determine the acceleration of the system, T
and the interaction forces between M1 & M2 in terms of M1, M2, M, g and µk.
ii) if the system remains static, derive the expressions for µs, T and the
interaction forces between M1 & M2 in terms of M1, M2, M and g.
Horizontal square shaped platform of side 10 m on the ground has initially sides coinciding with x-axis and y-axis as shown. A platform starts moving along x-axis with a velocity 10 m/s. A person standing on the platform starts moving on platform towards diagonally opposite corner as shown, with a velocity 5√2m/s. A stationary person standing at origin (Not on the platform) throws a ball in air so that the ball hits the person on platform when it is exactly at corner of the platform. Find the velocity of the ball?
Explain the phenomenon of beats. An
ambulance blowing a siren of frequency
700 Hz is travelling towards a vertical
reflecting wall with a speed 7.2 km h -1.
Calculate the number of beats heard in one
second by the driver of the ambulance. Take
speed of sound as 340 ms-1.
If we have two wooden tyres of same mass but of different radii. Both lies on the ground. Consider that the contact surface area of one tyre is 1m2 and 2m2 of the 2nd tyre. On which tyre the normal force and frictional force is greater.
