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*Answer can only contain numeric values

QUESTION: 1

Figure shows two pulley arrangements for lifting a mass * m*. In (a) the mass is lifted by attaching a mass

(Assume string is massless and pulley is ideal)

.

Solution:

The correct answer is: 3

*Answer can only contain numeric values

QUESTION: 2

Figure shows a 5*kg* ladder hanging from a string that is connected with a ceiling and is having a spring balance connected in between. A boy of mass 25*kg* is climbing up the ladder at acceleration 1*m*/*s*^{2}. Assuming the spring balance and the string to be massless and the spring to show a constant reading the reading to the spring balance ( in *kg* ) is........... Take g = 10*m*/*s*^{2}

Solution:

If reading of spring balance is *T*, then applying *NLM* on (man + ladder) system

The correct answer is: 32.5

*Answer can only contain numeric values

QUESTION: 3

A man of mass * m* stands on a platform of equal mass

Solution:

Upwards: mg/2 + mg/2 + mg/2 + mg/2

Downwards: mg + mg

Net 0 = ma => a = 0.

*Answer can only contain numeric values

QUESTION: 4

In the system shown in figure **m**_{A }= 4m, ** m_{B}** = 3m and

Solution:

The correct answer is: 5

*Answer can only contain numeric values

QUESTION: 5

Three blocks *A*, *B* and *C* of mass 10*kg* each are hanging on a string passing over a fixed frictionless pulley as shown in figure. The tension (in Newton) in the string connecting blocks *B* and *C* is ......... Take ** g **=10

^{}

Solution:

The correct answer is: 66.67

*Answer can only contain numeric values

QUESTION: 6

There is an inclined surface of inclination *θ* = 30º. A smooth groove is cut into it forming angle α with *AB. * A steel ball is free to slide along the groove. If the ball is released from the point *O* at top end of the groove, the speed when it when it comes to *A* in m/s is ........... Take * g* = 10

Solution:

Length of groove =

acceleration along the incline

acceleration along the groove

The correct answer is: 6.325

*Answer can only contain numeric values

QUESTION: 7

Two blocks *A* and *B* with mass 4*kg* and 6*kg* respectively are connected by a stretched spring of negligible mass as in figure. When the two block are released simultaneously the initial acceleration of *B* is 1.5*m/s*^{2} westward. The acceleration of *A* (in *m/s*^{2}) is:

Solution:

*Answer can only contain numeric values

QUESTION: 8

Consider the system as shown in the figure. The pulley and the string are light and all the surfaces are frictionless. The tension (in *Newton*) in the string is ............ ( * g* = 10

Solution:

The acceleration of block of mass **m**_{1} is

From *FBD* of block * m*,

The correct answer is: 5

QUESTION: 9

A body of mass 3*kg* hits a wall at an angle of 60° and with speed of 10*m/s* and returns at the same angle. The impact time is 0.2*sec*. Calculate force (in *Newton*) exerted on the wall :

Solution:

*Answer can only contain numeric values

QUESTION: 10

One end of massless rope, which passes over a massless and frictionless pulley *P* is tied to a hook *C* while the other end is free. Maximum vertical force that the clamp can bear is 180*N*. With what value of minimum safe acceleration (in *ms*^{–2}) can a man of 60*kg* climb down the rope?

Solution:

If man move downward with acceleration a then its apparent weight deceases. In that condition tension in string m(g — a) this should not be exceed over breaking strength of the rope i.e.

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