CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A point like object of mass M is thrown up from point A as shown in the figure. It slides along the full length of the smooth track ABC (of radius R for part BC). Let R=1 m,AB=2 m,M=0.5 kg,g=10 m/s2 & OD=3m.

A
Minimum speed V0 to slide full length of the track is 60m/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Minimum speed V0 to reach D is 105m/s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Normal force on the object by the track at C if it reaches D is 15 N
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Normal force on the object by the track at B if it reaches D is 32.5 N
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Normal force on the object by the track at B if it reaches D is 32.5 N
For the object to slide full length, its normal reaction at C should be greater than zero.
Nc=mV2cRmg
Nc>0Vc>Rg

By conservation of energy, 12mV20=mg×3+12×m×V2c
12mV20=mg×3+12×m Rg
V20=6g+Rg=7gVo=70m/s
Consider the case where the body falls exactly at D.

By Sy=uyt+12ayt2
1=0+12gt2t=15
And,
Sx=uxt+12axt23=Vc15
So Vc=35
By conservation of energy,
12m/V20=m/g×3+12×m/.(35)2
V20=60+45V0=105m/s
Similarly by conservation of energy,
VB=65
NB=mV2BR=0.5×651=32.5N

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Similar questions
View More
similar_icon
Related Videos
thumbnail
lock
Conservative Forces and Potential Energy
PHYSICS
Watch in App