A body of radius r and mass m is rolling

Asked by admin @ 06/08/2021 in Physics viewed by 274 People

a body of radius r and mass m is rolling on a horizontal plane without sliping with speed v it then rolls up a hill of vertical height h. If h=3v^2/4g the body is

Answered by admin @ 06/08/2021

Answer:The total kinetic energy of the body

K=KT=KR=12Mv2+12Iω2

=12Mv2[1+(MMr2)] [as v=rω]

when it rolls up an iregular inclined plane of height (h=3v24g), its KE is converted into PE, so by conservation of mechanical energy

12MV2[=1+1Mr2]=Mg[3v24g]

Which on simplification gives I=Mr22. This result clearly indicates that the body is either a disc or a cylinder.

Explanation:

A body of mass m and radius r rolling horizontally

Asked by admin @ 04/08/2021 in Physics viewed by 373 persons

A body of mass M and radius R rolling horizontally without slipping at a speed V climber ramp of height 3v^2/4g. The rolling body can be.........

A spherical body of mass m and radius r

Asked by admin @ 17/08/2021 in Physics viewed by 349 persons

A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. The time in which the velocity of the body increases from …

A circular hoop of mass m and radius r

Asked by admin @ 23/08/2021 in Physics viewed by 341 persons

A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface. A bullet also of mass m, and moving with a velocity v, strikes the …

A spherical ball of mass m and radius r

Asked by admin @ 20/08/2021 in Physics viewed by 307 persons

A spherical ball of mass m and radius r rolls without slipping on a rough concave surface of large radius R. It makes small oscillation about the lowest point. Find …

A uniform sphere of mass m and radius r

Asked by admin @ 13/08/2021 in Physics viewed by 343 persons

A uniform sphere of mass M and radius R is surrounded by a concentric spherical shell oof same mass but radius 2R . A point mass m is kept at …

From a disc of radius r and mass m

Asked by admin @ 11/08/2021 in Physics viewed by 344 persons

From a disc of radius r and mass m a circular hole of diameter r whose rim passes through the centre is cut what is i of the remaining part …

A body of mass m accelerates uniformly from rest

Asked by admin @ 17/08/2021 in Physics viewed by 313 persons

A body of mass m accelerates uniformly from rest to velocity v1 in time interval T1 . the instantaneous power delivered to the body as a funcyion of time t …

A body of mass m rests on horizontal surface

Asked by admin @ 17/08/2021 in Physics viewed by 288 persons

a body of mass m rests on horizontal surface. the coefficient of friction between the body and the surface is u. If the mass is pulled by a force P …

Earth has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m, while saturn has a mass of 5.68 x 1026 kg and a radius of 6.03 x 107 m. find the weight of a 65.0 kg person at the following locations? a) on the surface of the earth. b) 1000 km above the surface of earth. c) on the surface of saturn. d) 1000 km above the surface of saturn.

Asked by maham237 @ 13/01/2021 in Physics viewed by 575 persons

A car of mass m is on an icy driveway

Asked by admin @ 01/12/2021 in Physics viewed by 340 persons

A car of mass 1460 kg is on an icy driveway inclined at an angle of 33◦. The acceleration of gravity is 9.8 m/s^2. If the incline is frictionless, what …

A car of mass m starts from rest

Asked by admin @ 31/08/2021 in Physics viewed by 357 persons

A car of mass m starts from rest and accelerates so that the instantaneous power

A particle of mass m at rest decays

Asked by admin @ 31/08/2021 in Physics viewed by 419 persons

A particle of mass M at rest decays into two particles of m1 and m2 having non-zero velocities. The ratio of the de Broglie wavelength of the particles is a. …

A wire of length l and radius r

Asked by admin @ 31/08/2021 in Physics viewed by 305 persons

A wire of length l radius r is stretched by a force f and a second wire of same material with kength 2l and radius 2r is stretched with a …

A body of mass 2kg is at rest

Asked by admin @ 31/08/2021 in Physics viewed by 307 persons

A body of mass 2kg is at rest what should be magnitude of force which will make the body mass with the speed of 30 m/s at the end of …

A simple pendulum with bob of mass m

Asked by admin @ 29/08/2021 in Physics viewed by 338 persons

A simple pendulum with bob of mass m and length x is held in position at angle thetha 1 and then angle thetha 2 with the vertical when released from …